milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpmuwe_csx.ma

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 3fb6d1cd9b313612b7a40710f01216a07fbd6278..b38e8ca8dfb145e19d9e29d46928f030f2eda20f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpmuwe_csx.ma
@@ -20,10 +20,10 @@ 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❫ ⊢ ⬈*𝐒[h] 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_cpxs … H) -T1 #T1 #_ #IHT1
 elim (cnuw_dec_ex h G L T1)
@@ -32,14 +32,14 @@ elim (cnuw_dec_ex h G L T1)
   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=2 by cpms_fwd_cpxs/
+  | /2 width=3 by cpms_fwd_cpxs/
   ]
 ]
 qed-.
 
 lemma R_cpmuwe_total_csx (h) (G) (L):
-      ∀T1. ❪G,L❫ ⊢ ⬈*𝐒[h] 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-.