proposition: Lemma convergent_num_rec f n : convergent_num f n.+2 = (f n) * (convergent_num f n.+1) + (convergent_num f n).
proof: Proof. by []. Qed.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat) mathcomp(seq choice fintype order bigop ssralg) mathcomp(div ssrnum ssrint rat prime path binomial) mathcomp(tuple finset) gaia(fibm)