proposition: Lemma coprimep_modl p q : coprimep (p %% q) q = coprimep p q.
proof: Proof. rewrite !coprimep_def [in RHS]gcdpE. by case: ltnP => // hpq; rewrite modp_small // gcdpE hpq. Qed.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop ssralg poly)