X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbs_csx.ma;h=71f12aeffd67a27409ec32b5619a38a5113f2b90;hb=4173283e148199871d787c53c0301891deb90713;hp=c756c4ab81e8adb75c726889b6717d709f6c020c;hpb=be2870b722324a1813ac9e72ebcb2cda6c8733d7;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_csx.ma
index c756c4ab8..71f12aeff 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_csx.ma
@@ -12,22 +12,16 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/fpbs.ma".
-include "basic_2/computation/csx_lleq.ma".
-include "basic_2/computation/csx_lpx.ma".
+include "basic_2/rt_computation/csx_fpbq.ma".
+include "basic_2/rt_computation/fpbs.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
+(* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
 
-(* Advanced properties ******************************************************)
+(* Properties with sn for unbound parallel rt-transition for terms **********)
 
-lemma csx_fpb_conf: ∀h,o,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, o] T1 →
-                    ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≽[h, o] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬊*[h, o] T2.
-#h #o #G1 #L1 #T1 #HT1 #G2 #L2 #T2 *
-/2 width=5 by csx_cpx_trans, csx_fquq_conf, csx_lpx_conf, csx_lleq_conf/
-qed-.
-
-lemma csx_fpbs_conf: ∀h,o,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, o] T1 →
-                     ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬊*[h, o] T2.
-#h #o #G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
-/2 width=5 by csx_fpb_conf/
+(* Basic_2A1: was: csx_fpbs_conf *)
+lemma fpbs_csx_conf: ∀h,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
+                     ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
+#h #G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
+/2 width=5 by csx_fpbq_conf/
 qed-.