conformance.bend source
conformance.bend on the hub · documented module
import Baseimport ./core.bend as Runtimeimport ./state.bend as Simport ./core_model.bend as Cimport ./fips.bend as Fimport ./list_proofs.bend as Limport ./padding_proof.bend as Paddinglaw octets_correct: for +width: Nat for +n: Nat for +acc: List<&2, U32> {C.length_octets(width, n, acc) == List.append(&2, U32, F.octets(width, n), acc) : List<&2, U32>}def octets_correct(width, n, acc): match width: case 0n: {==} case 1n+p: %L.append_assoc_reverse(U32, F.octets(p, Nat.div(n, 256n)), [U32.from_nat(Nat.mod(n, 256n))], acc) : {C.length_octets(p, Nat.div(n, 256n), U32.from_nat(Nat.mod(n, 256n)) <> acc) == _ : List<&2, U32>} octets_correct(p, Nat.div(n, 256n), U32.from_nat(Nat.mod(n, 256n)) <> acc)law length_correct: for +n: Nat {C.bit_length(n) == F.length_field(n) : List<&2, U32>}def length_correct(n): octets_correct(7n, Nat.div(n, 32n), [U32.shln(U32.from_nat(Nat.mod(n, 32n)), 3n)])law nth_correct: for xs: List<&2, U32> for n: Nat {C.get(xs, n) == F.nth(xs, n) : U32}def nth_correct(xs, n): match xs n: case Nil{} _: {==} case h <> t 0n: {==} case h <> t 1n+p: nth_correct(t, p)law next_correct: for +hs: List<&2, U32> {C.next_word(hs) == F.recurrence(hs) : U32}def next_correct(hs): match hs: case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> (p <> rest): {==} case Nil{}: {==} case a <> Nil{}: {==} case a <> b <> Nil{}: {==} case a <> b <> c <> Nil{}: {==} case a <> b <> c <> d <> Nil{}: {==} case a <> b <> c <> d <> e <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> h <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> h <> i <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> Nil{}: {==} case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> Nil{}: {==}law extension_correct: for +n: Nat for +hs: List<&2, U32> {C.expand(n, hs) == F.extension(n, hs) : List<&2, U32>}def extension_correct(n, hs): match n: case 0n: {==} case 1n+p: %next_correct(hs) : {C.expand(1n+p, hs) == _ <> F.extension(p, _ <> hs) : List<&2, U32>} %extension_correct(p, C.next_word(hs) <> hs) : {C.expand(1n+p, hs) == C.next_word(hs) <> _ : List<&2, U32>} {==}law schedule_correct: for +extra: Nat for +block: List<&2, U32> {C.schedule(extra, block) == F.schedule(extra, block) : List<&2, U32>}def schedule_correct(extra, block): Equal.cong(List<&2, U32>, List<&2, U32>, ext => List.append(&2, U32, block, ext), C.expand(extra, List.reverse(&2, U32, block)), F.extension(extra, List.reverse(&2, U32, block)), extension_correct(extra, List.reverse(&2, U32, block)))law step_correct: for s: S.State for k: U32 for w: U32 {Runtime.step(s, k, w) == F.step(s, k, w) : S.State}def step_correct(s, k, w): match s: case S.H{a, b, c, d, e, f, g, h}: {==}law rounds_correct: for +ks: List<&2, U32> for +ws: List<&2, U32> for +s: S.State {C.rounds(ks, ws, s) == F.rounds(ks, ws)(s) : S.State}def rounds_correct(ks, ws, s): match ks ws: case Nil{} _: {==} case k <> kt Nil{}: {==} case k <> kt w <> wt: %step_correct(s, k, w) : {C.rounds(kt, wt, Runtime.step(s, k, w)) == F.rounds(kt, wt)(_) : S.State} rounds_correct(kt, wt, Runtime.step(s, k, w))law feedforward_correct: for x: S.State for y: S.State {Runtime.feedforward(x, y) == F.feedforward(x, y) : S.State}def feedforward_correct(x, y): match x y: case S.H{a, b, c, d, e, f, g, h} S.H{i, j, k, l, m, n, o, p}: {==}law compression_correct: for +ws: List<&2, U32> for +ks: List<&2, U32> for +s: S.State {C.compress(ws, ks, s) == F.compress(ws, ks, s) : S.State}def compression_correct(ws, ks, s): %feedforward_correct(s, F.rounds(ks, ws)(s)) : {C.compress(ws, ks, s) == _ : S.State} Equal.cong(S.State, S.State, r => Runtime.feedforward(s, r), C.rounds(ks, ws, s), F.rounds(ks, ws)(s), rounds_correct(ks, ws, s))law expanded_rounds_correct: for +n: Nat for +history: List<&2, U32> for +ks: List<&2, U32> for +s: S.State {C.expanded_rounds(n, history, ks, s) == C.rounds(ks, C.expand(n, history), s) : S.State}def expanded_rounds_correct(n, history, ks, s): match n ks: case 0n Nil{}: {==} case 0n k <> kt: {==} case 1n+p Nil{}: {==} case 1n+p k <> kt: expanded_rounds_correct(p, C.next_word(history) <> history, kt, Runtime.step(s, k, C.next_word(history)))law schedule_rounds_correct: for +ws: List<&2, U32> for +extra: Nat for +history: List<&2, U32> for +ks: List<&2, U32> for +s: S.State {C.schedule_rounds(ws, extra, history, ks, s) == C.rounds(ks, List.append(&2, U32, ws, C.expand(extra, history)), s) : S.State}def schedule_rounds_correct(ws, extra, history, ks, s): match ws ks: case Nil{} _: expanded_rounds_correct(extra, history, ks, s) case w <> wt Nil{}: {==} case w <> wt k <> kt: schedule_rounds_correct(wt, extra, history, kt, Runtime.step(s, k, w))law fused_compress_correct: for +block: List<&2, U32> for +extra: Nat for +ks: List<&2, U32> for +s: S.State {C.fused_compress(block, extra, ks, s) == C.compress(C.schedule(extra, block), ks, s) : S.State}law fused_compress_slow_correct: for +block: List<&2, U32> for +extra: Nat for +ks: List<&2, U32> for +s: S.State {C.fused_compress_slow(block, extra, ks, s) == C.compress(C.schedule(extra, block), ks, s) : S.State}def fused_compress_slow_correct(block, extra, ks, s): Equal.cong(S.State, S.State, r => Runtime.feedforward(s, r), C.schedule_rounds(block, extra, List.reverse(&2, U32, block), ks, s), C.rounds(ks, List.append(&2, U32, block, C.expand(extra, List.reverse(&2, U32, block))), s), schedule_rounds_correct(block, extra, List.reverse(&2, U32, block), ks, s))law window_rounds_correct: for +q: Nat for +a: U32 for +b: U32 for +c: U32 for +d: U32 for +e: U32 for +f: U32 for +g: U32 for +h: U32 for +i: U32 for +j: U32 for +k: U32 for +l: U32 for +m: U32 for +n: U32 for +o: U32 for +p: U32 for +rest: List<&2, U32> for +ks: List<&2, U32> for +s: S.State {C.window_rounds(q, Runtime.W{a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p}, ks, s) == C.expanded_rounds(q, a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> rest, ks, s) : S.State}def window_rounds_correct(q, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, rest, ks, s): match q ks: case 0n Nil{}: {==} case 0n x <> xt: {==} case 1n+r Nil{}: {==} case 1n+r x <> xt: window_rounds_correct(r, (Runtime.small1(b) + g + Runtime.small0(o) + p : U32), a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p <> rest, xt, Runtime.step(s, x, (Runtime.small1(b) + g + Runtime.small0(o) + p : U32)))law window_schedule_rounds_correct: for +ws: List<&2, U32> for +extra: Nat for +a: U32 for +b: U32 for +c: U32 for +d: U32 for +e: U32 for +f: U32 for +g: U32 for +h: U32 for +i: U32 for +j: U32 for +k: U32 for +l: U32 for +m: U32 for +n: U32 for +o: U32 for +p: U32 for +rest: List<&2, U32> for +ks: List<&2, U32> for +s: S.State {C.window_schedule_rounds(ws, extra, Runtime.W{a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p}, ks, s) == C.schedule_rounds(ws, extra, a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> rest, ks, s) : S.State}def window_schedule_rounds_correct(ws, extra, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, rest, ks, s): match ws ks: case Nil{} _: window_rounds_correct(extra, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, rest, ks, s) case w <> wt Nil{}: {==} case w <> wt x <> xt: window_schedule_rounds_correct(wt, extra, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, rest, xt, Runtime.step(s, x, w))def fused_compress_correct(block, extra, ks, s): match block: case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> Nil{}: Equal.trans(S.State, Runtime.feedforward(s, C.window_schedule_rounds( [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, Runtime.W{p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a}, ks, s)), Runtime.feedforward(s, C.schedule_rounds( [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a], ks, s)), Runtime.feedforward(s, C.rounds(ks, List.append(&2, U32, [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], C.expand(extra, [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a])), s)), Equal.cong(S.State, S.State, r => Runtime.feedforward(s, r), C.window_schedule_rounds( [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, Runtime.W{p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a}, ks, s), C.schedule_rounds( [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a], ks, s), window_schedule_rounds_correct( [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a, Nil{}, ks, s)), Equal.cong(S.State, S.State, r => Runtime.feedforward(s, r), C.schedule_rounds( [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a], ks, s), C.rounds(ks, List.append(&2, U32, [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], C.expand(extra, [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a])), s), schedule_rounds_correct( [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a], ks, s))) case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> q <> rest: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> q <> rest, extra, ks, s) case Nil{}: fused_compress_slow_correct(Nil{}, extra, ks, s) case a <> Nil{}: fused_compress_slow_correct(a <> Nil{}, extra, ks, s) case a <> b <> Nil{}: fused_compress_slow_correct(a <> b <> Nil{}, extra, ks, s) case a <> b <> c <> Nil{}: fused_compress_slow_correct(a <> b <> c <> Nil{}, extra, ks, s) case a <> b <> c <> d <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> h <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> h <> i <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> Nil{}, extra, ks, s) case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> Nil{}: fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> Nil{}, extra, ks, s)law window_compress16_correct: for +a: U32 for +b: U32 for +c: U32 for +d: U32 for +e: U32 for +f: U32 for +g: U32 for +h: U32 for +i: U32 for +j: U32 for +k: U32 for +l: U32 for +m: U32 for +n: U32 for +o: U32 for +p: U32 for +extra: Nat for +ks: List<&2, U32> for +s: S.State {C.window_compress16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, extra, ks, s) == C.fused_compress([a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, ks, s) : S.State}def window_compress16_correct(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, extra, ks, s): match ks: case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> k12 <> k13 <> k14 <> k15 <> kt: {==} case Nil{}: {==} case k0 <> Nil{}: {==} case k0 <> k1 <> Nil{}: {==} case k0 <> k1 <> k2 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> k12 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> k12 <> k13 <> Nil{}: {==} case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> k12 <> k13 <> k14 <> Nil{}: {==}law digest_correct: for s: S.State {C.digest(s) == F.digest(s) : List<&2, U32>}def digest_correct(s): match s: case S.H{a, b, c, d, e, f, g, h}: {==}law block_bytes_correct: for +bytes: List<&2, U32> for +extra: Nat for +ks: List<&2, U32> for +s: S.State {C.block_bytes(bytes, extra, ks, s) == F.blocks(F.schedules(F.words(bytes), extra), ks)(s) : S.State}def block_bytes_correct(bytes, extra, ks, s): match bytes: case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> b63 <> rest: +block = {[ Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63) ] : List<&2, U32>} +fast = C.window_compress16( Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63), extra, ks, s) %schedule_correct(extra, block) : {C.block_bytes(rest, extra, ks, fast) == F.blocks(F.schedules(F.words(rest), extra), ks)(F.compress(_, ks, s)) : S.State} %compression_correct(C.schedule(extra, block), ks, s) : {C.block_bytes(rest, extra, ks, fast) == F.blocks(F.schedules(F.words(rest), extra), ks)(_) : S.State} %fused_compress_correct(block, extra, ks, s) : {C.block_bytes(rest, extra, ks, fast) == F.blocks(F.schedules(F.words(rest), extra), ks)(_) : S.State} %window_compress16_correct( Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63), extra, ks, s) : {C.block_bytes(rest, extra, ks, fast) == F.blocks(F.schedules(F.words(rest), extra), ks)(_) : S.State} block_bytes_correct(rest, extra, ks, fast) case Nil{}: {==} case b0 <> Nil{}: {==} case b0 <> b1 <> Nil{}: {==} case b0 <> b1 <> b2 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}: {==} case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}: {==}law suffix_correct: for +n: Nat {C.suffix(n) == F.padding_suffix(n) : List<&2, U32>}def suffix_correct(n): %Padding.zeros_correct(Nat.mod(n, 64n)) : {C.suffix(n) == 128 <> List.append(&2, U32, List.replicate(U32, _, 0), F.length_field(n)) : List<&2, U32>} %length_correct(n) : {C.suffix(n) == 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, Nat.mod(n, 64n)), 64n), 0), _) : List<&2, U32>} {==}# Byte counts of whole blocks: 64 * k, built the way stream accumulates them.def mul64(k: Nat) -> Nat: match k: case 0n: 0n case 1n+p: Nat.add(64n, mul64(p))# The quotient accumulator never affects the remainder computed by divmod.law mod_quotient: for +x: Nat for +m: Nat for +d: Nat for +e: Nat for +r: Nat {Pair.snd(Nat, Nat, Nat.divmod.go(x, m, d, r)) == Pair.snd(Nat, Nat, Nat.divmod.go(x, m, e, r)) : Nat}def mod_quotient(x, m, d, e, r): match x m: case 0n _: {==} case 1n+p 0n: mod_quotient(p, r, 1n+d, 1n+e, 0n) case 1n+p 1n+q: mod_quotient(p, q, d, e, 1n+r)# Sixty-four divmod steps return to the initial counter state with a larger quotient.law mod_shift: for +x: Nat {Nat.mod(Nat.add(64n, x), 64n) == Nat.mod(x, 64n) : Nat}def mod_shift(x): mod_quotient(x, 63n, 1n, 0n, 0n)law mod_tail: for +x: Nat for +k: Nat {Nat.mod(Nat.add(x, mul64(k)), 64n) == Nat.mod(x, 64n) : Nat}def mod_tail(x, k): match k: case 0n: %L.add_zero(x) : {Nat.mod(Nat.add(x, 0n), 64n) == Nat.mod(_, 64n) : Nat} {==} case 1n+p: Equal.trans(Nat, Nat.mod(Nat.add(x, Nat.add(64n, mul64(p))), 64n), Nat.mod(Nat.add(64n, Nat.add(x, mul64(p))), 64n), Nat.mod(x, 64n), Equal.cong(Nat, Nat, y => Nat.mod(y, 64n), Nat.add(x, Nat.add(64n, mul64(p))), Nat.add(64n, Nat.add(x, mul64(p))), L.add_swap(x, 64n, mul64(p))), Equal.trans(Nat, Nat.mod(Nat.add(64n, Nat.add(x, mul64(p))), 64n), Nat.mod(Nat.add(x, mul64(p)), 64n), Nat.mod(x, 64n), mod_shift(Nat.add(x, mul64(p))), mod_tail(x, p)))# Each literal-constant round refines one step of window_rounds over the# remaining FIPS constants; the window variables stay abstract, so every proof# is one unfolding followed by the next round's lemma.law kr64_correct: for +q: Nat for +win: Runtime.RoundWindow for +s: S.State {Runtime.kr64(q, win, s) == C.window_rounds(q, win, Nil{}, s) : S.State}def kr64_correct(q, win, s): match q win: case 0n _: {==} case 1n+z Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}: {==}law kr63_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr63(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3329325298], s) : S.State}def kr63_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr64_correct(z, Runtime.W{(Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14}, Runtime.step(s, 3329325298, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr62_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr62(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3204031479, 3329325298], s) : S.State}def kr62_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr63_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3204031479, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr61_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr61(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2756734187, 3204031479, 3329325298], s) : S.State}def kr61_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr62_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2756734187, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr60_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr60(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr60_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr61_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2428436474, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr59_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr59(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr59_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr60_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2361852424, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr58_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr58(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr58_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr59_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2227730452, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr57_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr57(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr57_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr58_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2024104815, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr56_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr56(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr56_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr57_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1955562222, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr55_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr55(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr55_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr56_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1747873779, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr54_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr54(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr54_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr55_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1537002063, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr53_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr53(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr53_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr54_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1322822218, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr52_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr52(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr52_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr53_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 958139571, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr51_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr51(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr51_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr52_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 883997877, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr50_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr50(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr50_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr51_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 659060556, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr49_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr49(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr49_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr50_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 506948616, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr48_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr48(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr48_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr49_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 430227734, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr47_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr47(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr47_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr48_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 275423344, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr46_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr46(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr46_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr47_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 4094571909, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr45_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr45(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr45_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr46_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3600352804, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr44_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr44(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr44_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr45_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3516065817, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr43_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr43(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr43_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr44_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3345764771, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr42_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr42(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr42_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr43_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3259730800, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr41_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr41(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr41_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr42_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2820302411, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr40_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr40(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr40_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr41_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2730485921, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr39_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr39(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr39_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr40_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2456956037, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr38_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr38(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr38_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr39_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2177026350, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr37_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr37(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr37_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr38_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1986661051, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr36_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr36(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr36_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr37_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1695183700, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr35_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr35(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr35_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr36_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1396182291, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr34_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr34(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr34_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr35_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1294757372, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr33_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr33(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr33_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr34_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 773529912, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr32_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr32(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr32_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr33_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 666307205, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr31_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr31(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr31_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr32_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 338241895, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr30_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr30(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr30_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr31_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 113926993, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr29_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr29(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr29_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr30_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3584528711, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr28_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr28(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr28_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr29_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3336571891, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr27_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr27(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr27_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr28_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3210313671, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr26_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr26(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr26_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr27_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2952996808, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr25_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr25(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr25_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr26_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2821834349, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr24_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr24(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr24_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr25_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 2554220882, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr23_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr23(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr23_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr24_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1996064986, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr22_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr22(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr22_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr23_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1555081692, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr21_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr21(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr21_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr22_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 1249150122, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr20_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr20(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr20_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr21_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 770255983, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr19_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr19(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr19_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr20_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 604807628, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr18_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr18(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [264347078, 604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr18_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr19_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 264347078, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr17_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr17(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [4022224774, 264347078, 604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr17_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr18_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 4022224774, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law kr16_correct: for +q: Nat for +x0: U32 for +x1: U32 for +x2: U32 for +x3: U32 for +x4: U32 for +x5: U32 for +x6: U32 for +x7: U32 for +x8: U32 for +x9: U32 for +x10: U32 for +x11: U32 for +x12: U32 for +x13: U32 for +x14: U32 for +x15: U32 for +s: S.State {Runtime.kr16(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) == C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3835390401, 4022224774, 264347078, 604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}def kr16_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s): match q: case 0n: {==} case 1n+z: kr17_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, Runtime.step(s, 3835390401, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))law fips16_correct: for +a: U32 for +b: U32 for +c: U32 for +d: U32 for +e: U32 for +f: U32 for +g: U32 for +h: U32 for +i: U32 for +j: U32 for +k: U32 for +l: U32 for +m: U32 for +n: U32 for +o: U32 for +p: U32 for +q: Nat for +s: S.State {Runtime.fips_compress16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, s) == C.window_compress16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, C.round_constants(), s) : S.State}def fips16_correct(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, s): +s16 = Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(s, 1116352408, a), 1899447441, b), 3049323471, c), 3921009573, d), 961987163, e), 1508970993, f), 2453635748, g), 2870763221, h), 3624381080, i), 310598401, j), 607225278, k), 1426881987, l), 1925078388, m), 2162078206, n), 2614888103, o), 3248222580, p) Equal.cong(S.State, S.State, y => Runtime.feedforward(s, y), Runtime.kr16(q, Runtime.W{p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a}, s16), C.window_rounds(q, Runtime.W{p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a}, [3835390401, 4022224774, 264347078, 604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s16), kr16_correct(q, p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a, s16))# Streaming refines the generic block decoder, instantiated with the FIPS# table, applied to the padded message. After a complete block the count grows# by 64 exactly as the remaining length shrinks. For a short tail, count = 64k# fixes n mod 64 to the tail length, so the modular zero count is concrete and# finish_go packs the same 64 or 128 bytes that block_bytes decodes.law stream_correct: for +bytes: List<&2, U32> for +k: Nat for +extra: Nat for +s: S.State {C.stream(bytes, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, bytes, C.suffix(Nat.add(List.length(&2, U32, bytes), mul64(k)))), extra, C.round_constants(), s) : S.State}def stream_correct(bytes, k, extra, s): match bytes: case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> b63 <> rest: +fast = Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63), extra, s) %fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63), extra, s) : {C.stream(rest, mul64(1n+k), extra, fast) == C.block_bytes(List.append(&2, U32, rest, C.suffix(Nat.add(64n, Nat.add(List.length(&2, U32, rest), mul64(k))))), extra, C.round_constants(), _) : S.State} %L.add_swap(List.length(&2, U32, rest), 64n, mul64(k)) : {C.stream(rest, mul64(1n+k), extra, fast) == C.block_bytes(List.append(&2, U32, rest, C.suffix(_)), extra, C.round_constants(), fast) : S.State} stream_correct(rest, 1n+k, extra, fast) case Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, Nil{}), 64n), mod_tail(List.length(&2, U32, Nil{}), k)) : {C.stream(Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, Nil{}), mul64(k))), extra, s) case b0 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> Nil{}), k)) : {C.stream(b0 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> Nil{}), k)) : {C.stream(b0 <> b1 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, 128), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(128, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, 128, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, 128, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, 128), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), mul64(k))), extra, s) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} Equal.trans(S.State, Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s)), fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)), Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, C.round_constants(), y), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s), fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s))) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} Equal.trans(S.State, Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s)), fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)), Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, C.round_constants(), y), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s), fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s))) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} Equal.trans(S.State, Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s)), fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s)), Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, C.round_constants(), y), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s), fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s))) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} Equal.trans(S.State, Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s)), fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s)), Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, C.round_constants(), y), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s), fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s))) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} Equal.trans(S.State, Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, C.round_constants(), s)), fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s)), Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, C.round_constants(), y), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, C.round_constants(), s), fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s))) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} Equal.trans(S.State, Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, C.round_constants(), s)), fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s)), Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, C.round_constants(), y), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, C.round_constants(), s), fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s))) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} Equal.trans(S.State, Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, C.round_constants(), s)), fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s)), Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, C.round_constants(), y), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, C.round_constants(), s), fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s))) case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}: %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k)), 64n), Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), 64n), mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), k)) : {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}, 128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0), C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State} Equal.trans(S.State, Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s)), C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, C.round_constants(), s)), fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s)), Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, C.round_constants(), y), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, C.round_constants(), s), fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s)))# Unlike the old theorem, there is NO arbitrary preprocessing parameter.# This proves the actual implementation pipeline against the independent one.law sha256_correct: for +bytes: List<&2, U32> {C.sha256(bytes) == F.hash(bytes, 48n, C.round_constants()) : List<&2, U32>}def sha256_correct(bytes): %suffix_correct(List.length(&2, U32, bytes)) : {C.sha256(bytes) == F.digest(F.blocks(F.schedules(F.words( List.append(&2, U32, bytes, _)), 48n), C.round_constants())(F.initial())) : List<&2, U32>} %L.add_zero(List.length(&2, U32, bytes)) : {C.sha256(bytes) == F.digest(F.blocks(F.schedules(F.words( List.append(&2, U32, bytes, C.suffix(_))), 48n), C.round_constants())(F.initial())) : List<&2, U32>} +padded = List.append(&2, U32, bytes, C.suffix(Nat.add(List.length(&2, U32, bytes), 0n))) %digest_correct(F.blocks(F.schedules(F.words(padded), 48n), C.round_constants())(F.initial())) : {C.sha256(bytes) == _ : List<&2, U32>} Equal.cong(S.State, List<&2, U32>, s => C.digest(s), C.stream(bytes, 0n, 48n, Runtime.initial()), F.blocks(F.schedules(F.words(padded), 48n), C.round_constants())(Runtime.initial()), Equal.trans(S.State, C.stream(bytes, 0n, 48n, Runtime.initial()), C.block_bytes(padded, 48n, C.round_constants(), Runtime.initial()), F.blocks(F.schedules(F.words(padded), 48n), C.round_constants())(Runtime.initial()), stream_correct(bytes, 0n, 48n, Runtime.initial()), block_bytes_correct(padded, 48n, C.round_constants(), Runtime.initial())))