def least

bend-collections-laws-math@1.0.0.0 · proofs/math/natural/proof.bend:57

import Base
import bend-collections-laws-math@1.0.0.0/spec/math/natural.bend as S
import bend-collections-laws-math@1.0.0.0/proofs/math/natural/lcm.bend as LC

57def least(+a: Nat, +b: Nat, +m: Nat, +x: Nat, +y: Nat, +ex: {m == Nat.mul(x, a) : Nat}, +ey: {m == Nat.mul(y, b) : Nat}) -> S.Lcm.least(a, b, m, x, y, ex, ey):
58  (LC.lcm_dw(a, b, m, x, y), LC.lcm_dvd(a, b, m, x, y, ex, ey))