law to_nat_shl.m
import lawful-words@0.1.0.0/proof_u32.bend as ProofU32import Base
1004law to_nat_shl.m:
1005 for +a: U32
1006 for +m: Nat
1007 for +hm: {Nat.pow(2n, 32n) == m : Nat}
1008 {U32.to_nat(U32.shl(a)) == Nat.mod(Nat.mul(U32.to_nat(a), 2n), m) : Nat}