proposition: Lemma lucas_injective_bis a b: (lucas a == lucas b) = (a== b).
proof: Proof. exact: (inj_eq lucas_injective). Qed.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat) mathcomp(seq path fintype div bigop binomial) mathcomp(prime finset ssralg ssrnum ssrint)