(* 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 h … HT1) -HT1 #U1 #HTU1
+elim (cprre_total_csx h … HT2) -HT2 #U2 #HTU2
elim (eq_term_dec U1 U2) [ #H destruct | #HnU12 ]
[ cases HTU1 -HTU1 #HTU1 #_
cases HTU2 -HTU2 #HTU2 #_