ProofTab.gt.adc_zero: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/proof_tab.bend as ProofTab
Lines 49-60 of bend-osdev-gf@0.1.1.0/proof_tab.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/proof_tab.bend&start_line=49&end_line=60

import Base

def gt.adc_zero(n: Nat, w: Word(n)) -> {Word.adc(n, w, Word.zero(n), False{}, False{}) == w : Word(n)}:
  match n:
    case 0n:
      match w:
        case WNil{}:
          {==}
    case 1n+p:
      match w:
        case WCon{False{}, +t}:
          gt.wcon2(p, False{}, False{}, Word.adc(p, t, Word.zero(p), False{}, False{}), t, {==}, gt.adc_zero(p, t))
        case WCon{True{}, +t}:
          gt.wcon2(p, True{}, True{}, Word.adc(p, t, Word.zero(p), False{}, False{}), t, {==}, gt.adc_zero(p, t))

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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Nil
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.adc
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/proof_tab.bend&name=gt.wcon2