U32.internal_u32_inc_exact: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 663-666 of bend-mathlib@0.8.1.0/u32.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/u32.bend&start_line=663&end_line=666

import Base
import bend-mathlib@0.8.1.0/nat.bend as MNat

def internal_u32_inc_exact(-m: Nat, a: U32, e: {Nat.pow(2n, 32n) == m : Nat}, h: MNat.lt(1n+U32.to_nat(a), m)) -> {U32.to_nat(U32.inc(a)) == 1n+U32.to_nat(a) : Nat}:
  match a:
    case U32{+w}:
      word_inc_exact(32n, w, internal_bound(1n+Word.to_nat(32n, w), m, e, h))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.pow
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.inc
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=lt
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/u32.bend&name=internal_bound
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/u32.bend&name=word_inc_exact