proposition: Lemma nat_of_pos_inj: injective nat_of_pos.
proof: Proof. by move => u v /(congr1 predn) /(congr1 pos_of_nat'); rewrite !nat_of_posK. 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)