update in static_2 and basic_2 for the article

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpre.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpre.ma
index d94fb6fba36ae33791978996f93bde46aa740cd4..605915021c94dea5f56dfe148cde31ae10fe96cb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpre.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpre.ma
@@ -12,24 +12,11 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/predeval_4.ma".
-include "basic_2/computation/cprs.ma".
-include "basic_2/computation/csx.ma".
+include "basic_2/notation/relations/predeval_5.ma".
+include "basic_2/rt_computation/cpme.ma".
+include "basic_2/rt_computation/cprs.ma".
 
-(* EVALUATION FOR CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS *************)
+(* EVALUATION FOR CONTEXT-SENSITIVE PARALLEL R-TRANSITION ON TERMS ***********)
 
-definition cpre: relation4 genv lenv term term ≝
-                 λG,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡* T2 ∧ ⦃G, L⦄ ⊢ ➡ 𝐍⦃T2⦄.
-
-interpretation "evaluation for context-sensitive parallel reduction (term)"
-   'PRedEval G L T1 T2 = (cpre G L T1 T2).
-
-(* Basic properties *********************************************************)
-
-(* Basic_1: was just: nf2_sn3 *)
-lemma csx_cpre: ∀h,o,G,L,T1. ⦃G, L⦄ ⊢ ⬊*[h, o] T1 → ∃T2. ⦃G, L⦄ ⊢ T1 ➡* 𝐍⦃T2⦄.
-#h #o #G #L #T1 #H @(csx_ind … H) -T1
-#T1 #_ #IHT1 elim (cnr_dec G L T1) /3 width=3 by ex_intro, conj/
-* #T #H1T1 #H2T1 elim (IHT1 … H2T1) -IHT1 -H2T1 /2 width=2 by cpr_cpx/
-#T2 * /4 width=3 by cprs_strap2, ex_intro, conj/
-qed.
+interpretation "evaluation for context-sensitive parallel r-transition (term)"
+   'PRedEval h G L T1 T2 = (cpme h O G L T1 T2).