proposition: Lemma lcmrA a b c : lcmr a (lcmr b c) %= lcmr (lcmr a b) c.
proof: Proof. rewrite /eqd !dvdr_lcm !dvdr_lcml !dvdr_lcmr. rewrite 2!(dvdr_trans _ (dvdr_lcml _ _)) //. by do 2!rewrite (dvdr_trans _ (dvdr_lcmr _ _)) //. 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