proposition: Lemma depth_h_R:forall (mu:Matrix) (alpha:Reals) (t: emits_h mu alpha), ~(Incl_M mu LL) -> (Incl_M mu RR) -> depth_h mu alpha t = 0.
proof: Proof. intros mu alpha t t_l t_r. transitivity (depth_h mu alpha (emits_h_R _ _ t_r)). apply depth_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 Refining_M homographic Streams_addenda RIneq QArithSternBrocot(R_addenda) rep