U32.internal_u32_inc_wrap: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 677-681 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=677&end_line=681

import Base

def internal_u32_inc_wrap(-m: Nat, a: U32, e: {Nat.pow(2n, 32n) == m : Nat}) -> {U32.to_nat(U32.inc(a)) == Nat.mod(1n+U32.to_nat(a), m) : Nat}:
  match a:
    case U32{+w}:
      %e : {Word.to_nat(32n, Word.inc(32n, w)) == Nat.mod(1n+Word.to_nat(32n, w), _) : Nat}
      word_inc_wrap(32n, w)

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.mod
  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.inc
  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/u32.bend&name=word_inc_wrap