proposition: Lemma delta_add_var: forall i j n A s t m, delta (add_var i j n A) s m t <-> delta A s m t \/ n=m /\ i=s /\ j=t.
proof: Proof. intros. unfold delta. rewrite deltabrel_add_var. bool_connectors. nat_prop; num_prop. reflexivity. Qed.
imports: ATBR(Common) ATBR(Classes) ATBR(Graph) ATBR(Monoid) ATBR(SemiLattice) ATBR(SemiRing) ATBR(KleeneAlgebra) ATBR(MxGraph) ATBR(MxSemiLattice) ATBR(MxSemiRing) ATBR(MxKleeneAlgebra) ATBR(DKA_Definitions) ATBR(DKA_CheckLabels) ATBR(StrictStarForm) ATBR(Utils_WF) Coq(Relations)