law u32_or_split

bend-osdev-u32@0.1.0.0 · LAWS.bend:609

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

609law u32_or_split:
610  for +a: U32
611  for +b: U32
612  for +k: Nat
613  for +q: Nat
614  for e: {U32.to_nat(a) == U.U32Nat.dbl(k, q) : Nat}
615  for h: {Nat.is_lt(U32.to_nat(b), U.U32Nat.dbl(k, 1n)) == True{} : Bool}
616  {U32.to_nat(U32.or(a, b)) == Nat.add(U32.to_nat(a), U32.to_nat(b)) : Nat}