def qby

bend-collections-laws-math@1.0.0.0 · proofs/math/number/egcd.bend:36

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend as A

36# (q b) y == b (q y)
37def qby(+q: Nat, +b: Nat, +y: Nat) -> {Nat.mul(Nat.mul(q, b), y) == Nat.mul(b, Nat.mul(q, y)) : Nat}:
38  %Equal.sym(Nat, Nat.mul(q, b), Nat.mul(b, q), A.mul_comm(q, b)) : {Nat.mul(_, y) == Nat.mul(b, Nat.mul(q, y)) : Nat}
39  A.mul_assoc(b, q, y)