proposition: Lemma pIO_add_vertex (G : pre_graph) x a : pIO (add_vertex G x a) = pIO G.
proof: Proof. done. Qed.
imports: HB(structures) Coq(Relation_Definitions Morphisms RelationClasses) mathcomp(all_ssreflect) GraphTheory(edone finite_quotient preliminaries bij equiv) GraphTheory(setoid_bigop structures pttdom rewriting) GraphTheory(finmap_plus)