proposition: Lemma flip_edge_add_test (G : pre_graph) (e : ET) (x : VT) a : ((flip_edge G e)[adt x <- a])%O = (flip_edge (G[adt x <- a]) e)%O.
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)