X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Funfold%2Ftpss.ma;h=0e98ece73d82f34c8f582aff5d96934cd47d7e9a;hb=fec1a061eeca5e7e05b4f0c3e299983b163569c3;hp=7631985bb1c6ea1dac81f2ff335e9fbd7eeb66f7;hpb=708aa01d44c67343f0dac0353b52c7c2457069b3;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/basic_2/unfold/tpss.ma b/matita/matita/contribs/lambda_delta/basic_2/unfold/tpss.ma
index 7631985bb..0e98ece73 100644
--- a/matita/matita/contribs/lambda_delta/basic_2/unfold/tpss.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/unfold/tpss.ma
@@ -44,8 +44,8 @@ lemma tpss_strap: ∀L,T1,T,T2,d,e.
                   L ⊢ T1 ▶ [d, e] T → L ⊢ T ▶* [d, e] T2 → L ⊢ T1 ▶* [d, e] T2. 
 /2 width=3/ qed.
 
-lemma tpss_lsubs_conf: ∀L1,T1,T2,d,e. L1 ⊢ T1 ▶* [d, e] T2 →
-                       ∀L2. L1 ≼ [d, e] L2 → L2 ⊢ T1 ▶* [d, e] T2.
+lemma tpss_lsubs_trans: ∀L1,T1,T2,d,e. L1 ⊢ T1 ▶* [d, e] T2 →
+                        ∀L2. L2 ≼ [d, e] L1 → L2 ⊢ T1 ▶* [d, e] T2.
 /3 width=3/ qed.
 
 lemma tpss_refl: ∀d,e,L,T. L ⊢ T ▶* [d, e] T.
@@ -60,7 +60,7 @@ lemma tpss_bind: ∀L,V1,V2,d,e. L ⊢ V1 ▶* [d, e] V2 →
   | #T #T2 #_ #HT2 #IHT @step /2 width=5/ (**) (* /3 width=5/ is too slow *)
   ]
 | #V #V2 #_ #HV12 #IHV #I #T1 #T2 #HT12
-  lapply (tpss_lsubs_conf … HT12 (L. ⓑ{I} V) ?) -HT12 /2 width=1/ #HT12
+  lapply (tpss_lsubs_trans … HT12 (L. ⓑ{I} V) ?) -HT12 /2 width=1/ #HT12
   lapply (IHV … HT12) -IHV -HT12 #HT12 @step /2 width=5/ (**) (* /3 width=5/ is too slow *)
 ]
 qed.
@@ -132,7 +132,7 @@ lemma tpss_inv_bind1: ∀d,e,L,I,V1,T1,U2. L ⊢ ⓑ{I} V1. T1 ▶* [d, e] U2 
 [ /2 width=5/
 | #U #U2 #_ #HU2 * #V #T #HV1 #HT1 #H destruct
   elim (tps_inv_bind1 … HU2) -HU2 #V2 #T2 #HV2 #HT2 #H
-  lapply (tpss_lsubs_conf … HT1 (L. ⓑ{I} V2) ?) -HT1 /2 width=1/ /3 width=5/
+  lapply (tpss_lsubs_trans … HT1 (L. ⓑ{I} V2) ?) -HT1 /2 width=1/ /3 width=5/
 ]
 qed-.