proposition: Lemma cone_compose_dotted : forall a, is_cone a -> has_limit (socle a) -> cone_compose (limit (socle a)) (dotted a) = a.
proof: Proof. ir. uf dotted. rww cone_compose_cone_to_limit. app is_limit_limit. rww socle_limit. Qed.
imports: Arith nat_trans