proposition: Lemma dot_boolxif_left `{ISR: IdemSemiRing}: forall A B b (x: X A B), xif b 1 0 * x == xif b x 0.
proof: Proof. intros. rewrite dot_xifzero_left, dot_neutral_left. reflexivity. Qed.
imports: Coq(List) ATBR(Common) ATBR(Classes) ATBR(Graph) ATBR(Monoid) ATBR(SemiLattice) ATBR(SemiRing) ATBR(KleeneAlgebra) ATBR(MxGraph) ATBR(MxSemiLattice) ATBR(MxSemiRing) ATBR(MxKleeneAlgebra) ATBR(Functors) ATBR(MxFunctors) ATBR(DKA_Definitions) ATBR(Model_Languages)