law xor_and

bend-osdev-word64@0.1.1.0 · LAWS_bits.bend:30

import Base
import bend-osdev-word64@0.1.1.0/word64.bend as W

30law xor_and:
31  for +a: W.W64
32  for +b: W.W64
33  {Nat.add(W.W64.to_nat(W.W64.xor(a, b)), Nat.double(W.W64.to_nat(W.W64.and(a, b)))) == Nat.add(W.W64.to_nat(a), W.W64.to_nat(b)) : Nat}