X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Freducibility%2Fcpr_cpr.ma;h=8d2eb1f1d9858ab5cb3a22ec46efc54bb0ee1734;hb=1f1ea7bb9e6c34626bcabd4c0142fcde98bcbbe5;hp=583726cd40209784defd71ed26e210a85074ff1e;hpb=ea83c19f4cac864dd87eb059d8aeb2343eba480f;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_cpr.ma b/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_cpr.ma
index 583726cd4..8d2eb1f1d 100644
--- a/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_cpr.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/reducibility/cpr_cpr.ma
@@ -19,19 +19,19 @@ include "basic_2/reducibility/cpr.ma".
 
 (* Advanced properties ******************************************************)
 
-lemma cpr_bind_sn: ∀I,L,V1,V2,T1,T2. L ⊢ V1 ➡ V2 → T1 ➡ T2 →
-                   L ⊢ ⓑ{I} V1. T1 ➡ ⓑ{I} V2. T2.
-#I #L #V1 #V2 #T1 #T2 * #V #HV1 #HV2 #HT12
+lemma cpr_bind_sn: ∀a,I,L,V1,V2,T1,T2. L ⊢ V1 ➡ V2 → T1 ➡ T2 →
+                   L ⊢ ⓑ{a,I} V1. T1 ➡ ⓑ{a,I} V2. T2.
+#a #I #L #V1 #V2 #T1 #T2 * #V #HV1 #HV2 #HT12
 @ex2_1_intro [2: @(tpr_delta … HV1 HT12) | skip ] /2 width=3/ (* /3 width=5/ is too slow *)
 qed.
 
 (* Basic_1: was only: pr2_gen_cbind *)
-lemma cpr_bind_dx: ∀I,L,V1,V2,T1,T2. V1 ➡ V2 → L. ⓑ{I} V2 ⊢ T1 ➡ T2 →
-                   L ⊢ ⓑ{I} V1. T1 ➡ ⓑ{I} V2. T2.
-#I #L #V1 #V2 #T1 #T2 #HV12 * #T #HT1 normalize #HT2
+lemma cpr_bind_dx: ∀a,I,L,V1,V2,T1,T2. V1 ➡ V2 → L. ⓑ{I} V2 ⊢ T1 ➡ T2 →
+                   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_tps … HT0) -HT0 #HT0
+lapply (tpss_inv_SO2 … HT0) -HT0 #HT0
 @ex2_1_intro [2: @(tpr_delta … HV12 HT1 HT0) | skip | /2 width=1/ ] (**) (* /3 width=5/ is too slow *)
 qed.