proposition: Lemma coprimep_gdco p q : (q != 0)%B -> coprimep (gdcop p q) p.
proof: Proof. by move=> q_neq0; case: gdcopP=> d; rewrite (negPf q_neq0) orbF. Qed.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop ssralg poly)