Hash.bit_and_le: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/hash/hash.bend as Hash
Lines 14-23 of bend-collections-laws-math@1.0.0.0/proofs/math/hash/hash.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/hash/hash.bend&start_line=14&end_line=23

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/spec/numeric.bend as S

def bit_and_le(+a: Bool, +b: Bool) -> {Nat.is_le(S.bit_value(Bool.and(a, b)), S.bit_value(b)) == True{} : Bool}:
  match a b:
    case True{} True{}:
      {==}
    case True{} False{}:
      {==}
    case False{} True{}:
      {==}
    case False{} False{}:
      {==}

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/spec/numeric.bend&name=bit_value