def dvd_gcd
bend-collections-laws-crypto@1.0.0.0 · proofs/math/natural/gcd.bend:125
import bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/gcd.bend as Gcd
import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-crypto@1.0.0.0/src/math/natural.bend as M
125def dvd_gcd(+a: Nat, +b: Nat, +d: Nat, +ka: Nat, +kb: Nat, +ea: {a == Nat.mul(ka, d) : Nat}, +eb: {b == Nat.mul(kb, d) : Nat}) -> {M.gcd(a, b) == Nat.mul(dw(b, a, b, ka, kb), d) : Nat}:
126 gcd_greatest(b, a, b, N.le_refl(b), d, ka, kb, ea, eb)