U32.internal_full_add: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 193-210 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=193&end_line=210

import Base

def internal_full_add(a: Bool, b: Bool, c: Bool) -> {Nat.add(Nat.add(internal_bv(a), internal_bv(b)), internal_bv(c)) == Nat.add(internal_bv(Pair.fst(Bool, Bool, Bool.full_add(a, b, c))), Nat.double(internal_bv(Pair.snd(Bool, Bool, Bool.full_add(a, b, c))))) : Nat}:
  match a b c:
    case False{} False{} False{}:
      {==}
    case False{} False{} True{}:
      {==}
    case False{} True{} False{}:
      {==}
    case False{} True{} True{}:
      {==}
    case True{} False{} False{}:
      {==}
    case True{} False{} True{}:
      {==}
    case True{} True{} False{}:
      {==}
    case True{} True{} True{}:
      {==}

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.full_add
  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.double
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair.fst
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair.snd
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/u32.bend&name=internal_bv