proposition: Lemma polyC_inj_dvdr : forall a b, (a %| b)%R -> (a%:P : poly_of R) %| b %:P.
proof: Proof. move=> a b. case/dvdrP=> x Hx; apply/dvdrP; exists (x%:P). by rewrite -polyCM Hx. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat div seq) mathcomp(path choice fintype tuple finset ssralg) mathcomp(matrix poly) mathcomp(bigop polydiv) CoqEAL(stronglydiscrete dvdring)