proposition: Lemma preserve_max_label: forall A, DFA.max_label (NFA_to_DFA A) = NFA.max_label A.
proof: Proof. intros. unfold NFA_to_DFA. destruct (build_store A) as [[? ?] ?]. 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_StateSetSets) ATBR(Numbers) ATBR(Utils_WF)