X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_simple_teqo.ma;h=bb450e75608ea6035fa06161956e558249b1cc30;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=c56f1f718e3d75261543a0fce3bfad488b1d9042;hpb=f677b4ef7fa20f1ab36c5ee59598865d5c1b719b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_teqo.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_teqo.ma
index c56f1f718..bb450e756 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_teqo.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_teqo.ma
@@ -18,23 +18,23 @@ include "basic_2/rt_transition/cpx_simple.ma".
 include "basic_2/rt_computation/cpxs.ma".
 include "basic_2/rt_computation/csx_csx.ma".
 
-(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
 
 (* Properties with outer equivalence for terms ******************************)
 
 (* Basic_1: was just: sn3_appl_appl *)
 (* Basic_2A1: was: csx_appl_simple_tsts *)
-lemma csx_appl_simple_teqo (h) (G) (L):
-      ∀V. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → ∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-      (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ⩳ T2 → ⊥) → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.T2⦄) →
-      𝐒⦃T1⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.T1⦄.
-#h #G #L #V #H @(csx_ind … H) -V
+lemma csx_appl_simple_teqo (G) (L):
+      ∀V. ❪G,L❫ ⊢ ⬈*𝐒 V → ∀T1. ❪G,L❫ ⊢ ⬈*𝐒 T1 →
+      (∀T2. ❪G,L❫ ⊢ T1 ⬈* T2 → (T1 ⩳ T2 → ⊥) → ❪G,L❫ ⊢ ⬈*𝐒 ⓐV.T2) →
+      𝐒❪T1❫ → ❪G,L❫ ⊢ ⬈*𝐒 ⓐV.T1.
+#G #L #V #H @(csx_ind … H) -V
 #V #_ #IHV #T1 #H @(csx_ind … H) -T1
 #T1 #H1T1 #IHT1 #H2T1 #H3T1
 @csx_intro #X #HL #H
 elim (cpx_inv_appl1_simple … HL) -HL //
 #V0 #T0 #HLV0 #HLT10 #H0 destruct
-elim (tdneq_inv_pair … H) -H
+elim (tneqx_inv_pair … H) -H
 [ #H elim H -H //
 | -IHT1 #HV0
   @(csx_cpx_trans … (ⓐV0.T1)) /2 width=1 by cpx_flat/ -HLT10