]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_csx.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_equivalence / cpcs_csx.ma
index 465871f60915c5c67dfc7dc35f2dd4eb94cec5db..777d5ecd7d2831fc1f1ce36379d17aaa3335555e 100644 (file)
@@ -18,15 +18,15 @@ include "basic_2/rt_equivalence/cpcs_cprs.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL R-EQUIVALENCE FOR TERMS ***********************)
 
-(* Properties with strongly normalizing terms for unbound rt-transition *****)
+(* Properties with strongly normalizing terms for extended rt-transition ****)
 
 (* Basic_1: was: cpcs_dec *)
 lemma csx_cpcs_dec (h) (G) (L):
-      ∀T1. ❪G,L❫ ⊢ ⬈*𝐒[h] T1 → ∀T2. ❪G,L❫ ⊢ ⬈*𝐒[h] T2 →
+      ∀T1. ❪G,L❫ ⊢ ⬈*𝐒 T1 → ∀T2. ❪G,L❫ ⊢ ⬈*𝐒 T2 →
       Decidable … (❪G,L❫ ⊢ T1 ⬌*[h] T2).
 #h #G #L #T1 #HT1 #T2 #HT2
-elim (cprre_total_csx … HT1) -HT1 #U1 #HTU1
-elim (cprre_total_csx … HT2) -HT2 #U2 #HTU2
+elim (cprre_total_csx … HT1) -HT1 #U1 #HTU1
+elim (cprre_total_csx … HT2) -HT2 #U2 #HTU2
 elim (eq_term_dec U1 U2) [ #H destruct | #HnU12 ]
 [ cases HTU1 -HTU1 #HTU1 #_
   cases HTU2 -HTU2 #HTU2 #_