X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpmuwe_csx.ma;h=b38e8ca8dfb145e19d9e29d46928f030f2eda20f;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=911dddd5b084c1fa5a6e49594a95527e8b2ee8f8;hpb=0fea4ed429678c3293027cfe76fdbe15cfa331cb;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_csx.ma
index 911dddd5b..b38e8ca8d 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_csx.ma
@@ -12,30 +12,34 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/cpm_cpx.ma".
-include "basic_2/rt_computation/csx.ma".
-include "basic_2/rt_computation/cnuw_tdeq.ma".
+include "static_2/syntax/tweq_teqx.ma".
+include "basic_2/rt_computation/csx_cpxs.ma".
+include "basic_2/rt_computation/cpms_cpxs.ma".
+include "basic_2/rt_computation/cnuw_cnuw.ma".
 include "basic_2/rt_computation/cpmuwe.ma".
 
 (* T-UNBOUND WHD EVALUATION FOR T-BOUND RT-TRANSITION ON TERMS **************)
 
-(* Properties with strong normalization for unbound rt-transition for terms *)
+(* Properties with strongly normalizing terms for extended rt-transition ****)
 
 lemma cpmuwe_total_csx (h) (G) (L):
-      ∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ∃∃T2,n. ⦃G,L⦄ ⊢ T1 ➡*𝐍𝐖*[h,n] T2.
+      ∀T1. ❪G,L❫ ⊢ ⬈*𝐒 T1 → ∃∃T2,n. ❪G,L❫ ⊢ T1 ➡*𝐍𝐖*[h,n] T2.
 #h #G #L #T1 #H
-@(csx_ind … H) -T1 #T1 #_ #IHT1
-elim (cnuw_dec_tdeq h G L T1)
+@(csx_ind_cpxs … H) -T1 #T1 #_ #IHT1
+elim (cnuw_dec_ex h G L T1)
 [ -IHT1 #HT1 /3 width=4 by cpmuwe_intro, ex1_2_intro/
 | * #n1 #T0 #HT10 #HnT10
-  elim (IHT1 … HnT10) -IHT1 -HnT10 [| /2 width=2 by cpm_fwd_cpx/ ]
-  #T2 #n2 * #HT02 #HT2 /4 width=5 by cpms_step_sn, cpmuwe_intro, ex1_2_intro/
+  elim (IHT1 … T0) -IHT1
+  [ #T2 #n2 * #HT02 #HT2 /4 width=5 by cpms_trans, cpmuwe_intro, ex1_2_intro/
+  | /3 width=1 by teqx_tweq/
+  | /2 width=3 by cpms_fwd_cpxs/
+  ]
 ]
 qed-.
 
 lemma R_cpmuwe_total_csx (h) (G) (L):
-      ∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ∃n. R_cpmuwe h G L T1 n.
+      ∀T1. ❪G,L❫ ⊢ ⬈*𝐒 T1 → ∃n. R_cpmuwe h G L T1 n.
 #h #G #L #T1 #H
-elim (cpmuwe_total_csx … H) -H #T2 #n #HT12
+elim (cpmuwe_total_csx h … H) -H #T2 #n #HT12
 /3 width=3 by ex_intro (* 2x *)/
 qed-.