proposition: Corollary uforest'_uforest: forall g, uforest' g -> uforest g.
proof: Proof. unfold uforest. split. apply H. intros. apply uforest'_no_simple_ucycle. auto. Qed.
imports: Coq.Logic.Classical CertiGraph.lib.List_ext CertiGraph.lib.EquivDec_ext CertiGraph.graph.graph_model CertiGraph.graph.graph_relation CertiGraph.graph.path_lemmas CertiGraph.graph.graph_gen CertiGraph.graph.FiniteGraph