]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprre_csx.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cprre_csx.ma
index 2642f686eaed9fcda4eec85185c46e45ede6d7e2..854fd530b6edfdf18b846f44170cac6db8928a33 100644 (file)
@@ -19,16 +19,16 @@ include "basic_2/rt_computation/cprre.ma".
 
 (* EVALUATION FOR CONTEXT-SENSITIVE PARALLEL R-TRANSITION ON TERMS **********)
 
-(* Properties with strong normalization for unbound rt-transition for terms *)
+(* Properties with strongly normalizing terms for extended rt-transition ****)
 
 (* Basic_1: was just: nf2_sn3 *)
 (* Basic_2A1: was: csx_cpre *)
 lemma cprre_total_csx (h) (G) (L):
-      ∀T1. ❪G,L❫ ⊢ ⬈*𝐒[h] T1 → ∃T2. ❪G,L❫ ⊢ T1 ➡*𝐍[h,0] T2.
+      ∀T1. ❪G,L❫ ⊢ ⬈*𝐒 T1 → ∃T2. ❪G,L❫ ⊢ T1 ➡*𝐍[h,0] T2.
 #h #G #L #T1 #H
 @(csx_ind … H) -T1 #T1 #_ #IHT1
 elim (cnr_dec_teqx h G L T1) [ /3 width=3 by ex_intro, cpmre_intro/ ] *
 #T0 #HT10 #HnT10
-elim (IHT1 … HnT10) -IHT1 -HnT10 [| /2 width=2 by cpm_fwd_cpx/ ]
+elim (IHT1 … HnT10) -IHT1 -HnT10 [| /2 width=3 by cpm_fwd_cpx/ ]
 #T2 * /4 width=3 by cprs_step_sn, ex_intro, cpmre_intro/
 qed-.