law or_disjoint

bend-osdev-word64@0.1.1.0 · LAWS_bits.bend:35

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

35law or_disjoint:
36  for +a: W.W64
37  for +b: W.W64
38  for h: {W.W64.and(a, b) == W.W64.zero() : W.W64}
39  {W.W64.to_nat(W.W64.or(a, b)) == Nat.add(W.W64.to_nat(a), W.W64.to_nat(b)) : Nat}