proposition: Lemma open_add_edgeE (x y z : G) u : @open_add_edge x y u (inj_v z) = (inj_v z).
proof: Proof. rewrite /= vfun_bodyE ?inj_v_open //= => p. by rewrite imfset_bij_bwdE. Qed.
imports: Coq(Relation_Definitions Morphisms RelationClasses) mathcomp(all_ssreflect) GraphTheory(edone finite_quotient preliminaries bij equiv) GraphTheory(setoid_bigop structures pttdom mgraph mgraph2) GraphTheory(rewriting open_confluence finmap_plus)