Bits.to_nat_con: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/math/random/bits.bend as Bits
Lines 69-75 of bend-collections-laws-crypto@1.0.0.0/proofs/math/random/bits.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/random/bits.bend&start_line=69&end_line=75

import Base

# a word's value, its low bit first
def to_nat_con(+p: Nat, +x: Bool, +t: Word(p)) -> {Word.to_nat(1n+p, WCon{x, t}) == Nat.add(bv(x), Nat.double(Word.to_nat(p, t))) : Nat}:
  match x:
    case True{}:
      {==}
    case False{}:
      {==}

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=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=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.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/random/bits.bend&name=bv