Word.low0: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend as Word
Lines 279-284 of bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend&start_line=279&end_line=284

import Base

def low0(+p: Nat, +b: Bool, +t: Word(p)) -> {uw(1n+p, Word.and(1n+p, WCon{b, t}, mask(1n+p, 0n))) == 0n : Nat}:
  match b:
    case True{}:
      Equal.cong(Nat, Nat, z => Nat.double(z), uw(p, Word.and(p, t, mask(p, 0n))), 0n, and_zero(p, t))
    case False{}:
      Equal.cong(Nat, Nat, z => Nat.double(z), uw(p, Word.and(p, t, mask(p, 0n))), 0n, and_zero(p, t))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.double
  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.and
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend&name=and_zero
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend&name=mask
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend&name=uw