proposition: Lemma lcmrAC a b c : lcmr (lcmr a b) c %= lcmr (lcmr a c) b.
proof: Proof. rewrite (eqd_trans _ (lcmrA _ _ _)) //. by rewrite (eqd_trans _ (eqd_lcml _ (lcmrC _ _))) // eqd_sym lcmrA. 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