proposition: Lemma eqd_lcmr a b c : a %= b -> lcmr a c %= lcmr b c.
proof: Proof. move=> Hab. rewrite /eqd !dvdr_lcm !dvdr_lcmr (eqd_dvd Hab (eqdd _)). by rewrite dvdr_lcml -(eqd_dvd Hab (eqdd _)) dvdr_lcml. Qed.
imports: HB(structures) Coq(ssreflect ssrfun ssrbool Arith.Wf_nat) mathcomp(eqtype ssrnat div seq path) mathcomp(ssralg fintype perm tuple choice generic_quotient) mathcomp(matrix bigop zmodp mxalgebra poly) stronglydiscrete