proposition: Lemma modulus_h_R:forall (mu:Matrix) (alpha:Reals) (t: emits_h mu alpha), ~(Incl_M mu LL) -> (Incl_M mu RR) -> modulus_h mu alpha t = pairT RR (pairT (product inv_RR mu) alpha).
proof: Proof. intros mu alpha t t_l t_r. transitivity (modulus_h mu alpha (emits_h_R _ _ t_r)). apply modulus_h_PI. simpl; case (Incl_M_dec_D mu LL); try contradiction; case (Incl_M_dec_D mu RR); try contradiction; intros; reflexivity. Defined.
imports: digits