bend-mathlib@0.3.0.0 checks

0x74bdc843cd4bfb31bb6f7ba1eb38d231

bend-mathlib: machine-checked lemmas for Bend 2 (Nat, Bool, List, equality); import one module, e.g. bend-mathlib@0.3.0.0/nat.bend.

bend-mathlib@0.3.0.0 by MuhDur

Published

2026-09-25

Size

138,095 bytes, 8 files

License

Apache-2.0 (LICENSE)

Declarations

287 laws (287 proved), 89 defs, 0 types

Import

import bend-mathlib@0.3.0.0/all.bend as All
import 0x74bdc843cd4bfb31bb6f7ba1eb38d231/all.bend as All
import bend-mathlib@0.3.0.0/bool.bend as MBool
import 0x74bdc843cd4bfb31bb6f7ba1eb38d231/bool.bend as MBool
import bend-mathlib@0.3.0.0/equal.bend as MEqual
import 0x74bdc843cd4bfb31bb6f7ba1eb38d231/equal.bend as MEqual
import bend-mathlib@0.3.0.0/list.bend as MList
import 0x74bdc843cd4bfb31bb6f7ba1eb38d231/list.bend as MList
import bend-mathlib@0.3.0.0/nat.bend as MNat
import 0x74bdc843cd4bfb31bb6f7ba1eb38d231/nat.bend as MNat
import bend-mathlib@0.3.0.0/perm.bend as Perm
import 0x74bdc843cd4bfb31bb6f7ba1eb38d231/perm.bend as Perm
import bend-mathlib@0.3.0.0/sort.bend as Sort
import 0x74bdc843cd4bfb31bb6f7ba1eb38d231/sort.bend as Sort

Modules

• all.bend 0 declarations — bend-mathlib: machine-checked lemmas for Bend 2 (Nat, Bool, List, equality); import one module, e.g. bend-mathlib@0.3.0.0/nat.bend.
• bool.bend 60 declarations, 59 laws — bend-mathlib/bool.bend: Bool algebra (not, and, or, xor).
• equal.bend 4 declarations, 4 laws — bend-mathlib/equal.bend: equality lemmas (congruence, substitution, chains).
• list.bend 105 declarations, 89 laws — bend-mathlib/list.bend: List lemmas (append, reverse, length, take, drop, map, fold, filter).
• nat.bend 143 declarations, 135 laws — bend-mathlib/nat.bend: Nat arithmetic (add, mul, sub, min, max, pow) and order (le, lt, ge, gt).
• perm.bend 52 declarations — bend-mathlib/perm.bend: step-list permutations over bendlib-kernel-list, plus sort value defs and proofs.
• sort.bend 12 declarations — bend-mathlib/sort.bend: insertion sort proved sorted over perm.bend's value defs (generic ~le).

Other files

• LICENSE 11,381 bytes

Dependencies

• bendlib-kernel-list@1.0.0.0 via perm.bend: import 0xb5c8145e53a6a127d611f45f602666ec/list.bend as K

Dependents

No package in this build imports it.

Status on bend 2.0.36