X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fi_static%2Ftc_lfxs_fqup.ma;h=3392f1e1aaf4e3b732ff59b28a133c26b2fceae5;hb=5c186c72f508da0849058afeecc6877cd9ed6303;hp=d802f6e1ad7e9e36c1d22d30cfec72d92b05e0a6;hpb=775106f04b47236bf47e4321d745ec360ab4ebb4;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_fqup.ma
index d802f6e1a..3392f1e1a 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_fqup.ma
@@ -25,7 +25,7 @@ lemma tc_lfxs_refl: ∀R. c_reflexive … R →
 
 (* Basic_2A1: uses: TC_lpx_sn_pair TC_lpx_sn_pair_refl *)
 lemma tc_lfxs_pair_refl: ∀R. c_reflexive … R →
-                         ∀L,V1,V2. LTC … R L V1 V2 → ∀I,T. L.ⓑ{I}V1 ⪤**[R, T] L.ⓑ{I}V2.
+                         ∀L,V1,V2. CTC … R L V1 V2 → ∀I,T. L.ⓑ{I}V1 ⪤**[R, T] L.ⓑ{I}V2.
 #R #HR #L #V1 #V2 #H elim H -V2
 /3 width=3 by tc_lfxs_step_dx, lfxs_pair_refl, inj/
 qed.
@@ -40,18 +40,18 @@ qed.
 (* Advanced eliminators *****************************************************)
 
 lemma tc_lfxs_ind_sn: ∀R. c_reflexive … R →
-                      ∀L1,T. ∀R0:predicate …. R0 L1 →
-                      (∀L,L2. L1 ⪤**[R, T] L → L ⪤*[R, T] L2 → R0 L → R0 L2) →
-                      ∀L2. L1 ⪤**[R, T] L2 → R0 L2.
-#R #HR #L1 #T #R0 #HL1 #IHL1 #L2 #HL12
+                      ∀L1,T. ∀Q:predicate …. Q L1 →
+                      (∀L,L2. L1 ⪤**[R, T] L → L ⪤*[R, T] L2 → Q L → Q L2) →
+                      ∀L2. L1 ⪤**[R, T] L2 → Q L2.
+#R #HR #L1 #T #Q #HL1 #IHL1 #L2 #HL12
 @(TC_star_ind … HL1 IHL1 … HL12) /2 width=1 by lfxs_refl/
 qed-.
 
 lemma tc_lfxs_ind_dx: ∀R. c_reflexive … R →
-                      ∀L2,T. ∀R0:predicate …. R0 L2 →
-                      (∀L1,L. L1 ⪤*[R, T] L → L ⪤**[R, T] L2 → R0 L → R0 L1) →
-                      ∀L1. L1 ⪤**[R, T] L2 → R0 L1.
-#R #HR #L2 #R0 #HL2 #IHL2 #L1 #HL12
+                      ∀L2,T. ∀Q:predicate …. Q L2 →
+                      (∀L1,L. L1 ⪤*[R, T] L → L ⪤**[R, T] L2 → Q L → Q L1) →
+                      ∀L1. L1 ⪤**[R, T] L2 → Q L1.
+#R #HR #L2 #Q #HL2 #IHL2 #L1 #HL12
 @(TC_star_ind_dx … HL2 IHL2 … HL12) /2 width=4 by lfxs_refl/
 qed-.