proposition: Lemma monic_prod I rI (P : pred I) (F : I -> {poly R}): (forall i, P i -> F i \is monic) -> \prod_(i <- rI | P i) F i \is monic.
proof: Proof. exact: rpred_prod. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype bigop finset tuple) mathcomp(div ssralg countalg binomial)