proposition: Lemma pIO_add_test (G : pre_graph) x a : pIO (G[adt 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)