proposition: Lemma coprimer_expl k a b : coprimer a b -> coprimer (a ^+ k) b.
proof: Proof. move=> cab; elim: k=> [|k ihk]; first by rewrite /coprimer gcd1r. by rewrite exprSr coprimer_mull ihk cab. 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