U32.internal_u32_add_wrap: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 621-625 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=621&end_line=625

import Base

def internal_u32_add_wrap(-m: Nat, a: U32, b: U32, e: {Nat.pow(2n, 32n) == m : Nat}) -> {U32.to_nat(U32.add(a, b)) == Nat.mod(Nat.add(U32.to_nat(a), U32.to_nat(b)), m) : Nat}:
  match a b:
    case U32{+x} U32{+y}:
      %e : {Word.to_nat(32n, Word.add(32n, x, y)) == Nat.mod(Nat.add(Word.to_nat(32n, x), Word.to_nat(32n, y)), _) : Nat}
      word_add_wrap(32n, x, y)

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  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.add
  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.add
  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_add_wrap