def addmul

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/reducek.bend:24

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend as NA

24# t + t c = (1 + c) t
25def addmul(+t: Nat, +cv: Nat) -> {Nat.add(t, Nat.mul(t, cv)) == Nat.mul(1n+cv, t) : Nat}:
26  %Equal.sym(Nat, Nat.mul(t, cv), Nat.mul(cv, t), NA.mul_comm(t, cv)) : {Nat.add(t, _) == Nat.mul(1n+cv, t) : Nat}
27  {==}