PROOFDiv.wd.wv: def of bend-osdev-word64@0.1.1.1
Import: import bend-osdev-word64@0.1.1.1/PROOF_div.bend as PROOFDiv
Lines 138-144 of bend-osdev-word64@0.1.1.1/PROOF_div.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-word64@0.1.1.1/PROOF_div.bend&start_line=138&end_line=144

import Base
import bend-osdev-u32@0.1.0.0/u32.bend as U

# the value of a word one bit longer
def wd.wv(p: Nat, x: Bool, t: Word(p)) -> {Word.to_nat(1n+p, WCon{x, t}) == Nat.add(U.U32Nat.bit(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-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.bit