update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reducibility / cpr_cpr.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_cpr.ma b/matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_cpr.ma
index d0738e4c40722b47def8552e7f26bac835866eeb..d231c849fa173c8a35e06c3322fbaaccdf3a361f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_cpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_cpr.ma
@@ -30,7 +30,7 @@ lemma cpr_bind_dx: ∀a,I,L,V1,V2,T1,T2. V1 ➡ V2 → L. ⓑ{I} V2 ⊢ T1 ➡ T
                    L ⊢ ⓑ{a,I} V1. T1 ➡ ⓑ{a,I} V2. T2.
 #a #I #L #V1 #V2 #T1 #T2 #HV12 * #T #HT1 normalize #HT2
 elim (tpss_split_up … HT2 1 ? ?) -HT2 // #T0 <minus_n_O #HT0 normalize <minus_plus_m_m #HT02
-lapply (tpss_lsubs_trans … HT0 (⋆. ⓑ{I} V2) ?) -HT0 /2 width=1/ #HT0
+lapply (tpss_lsubr_trans … HT0 (⋆. ⓑ{I} V2) ?) -HT0 /2 width=1/ #HT0
 lapply (tpss_inv_SO2 … HT0) -HT0 #HT0
 @ex2_intro [2: @(tpr_delta … HV12 HT1 HT0) | skip | /2 width=1/ ] (**) (* /3 width=5/ is too slow *)
 qed.
@@ -57,7 +57,7 @@ theorem cpr_conf: ∀L,U0,T1,T2. L ⊢ U0 ➡ T1 → L ⊢ U0 ➡ T2 →
                   ∃∃T. L ⊢ T1 ➡ T & L ⊢ T2 ➡ T.
 #L #U0 #T1 #T2 * #U1 #HU01 #HUT1 * #U2 #HU02 #HUT2
 elim (tpr_conf … HU01 HU02) -U0 #U #HU1 #HU2
-elim (tpr_tpss_ltpr ? L … HU1 … HUT1) -U1 // #U1 #HTU1 #HU1
-elim (tpr_tpss_ltpr ? L … HU2 … HUT2) -U2 // #U2 #HTU2 #HU2
+elim (ltpr_tpr_tpss_conf ? L … HU1 … HUT1) -U1 // #U1 #HTU1 #HU1
+elim (ltpr_tpr_tpss_conf ? L … HU2 … HUT2) -U2 // #U2 #HTU2 #HU2
 elim (tpss_conf_eq … HU1 … HU2) -U /3 width=5/
 qed.