update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpxs.ma
index 9d06a41426d7c8f3f611f317844dd53137315f38..1629eddcd513d40cb71b465601aac40ff9ff5498 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpxs.ma
@@ -12,14 +12,15 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/csx_lpx.ma".
-include "basic_2/computation/lpxs.ma".
+include "basic_2/rt_computation/csx_lpx.ma".
+include "basic_2/rt_computation/lpxs_lpx.ma".
 
 (* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
 
-(* Properties on sn extended parallel computation for local environments ****)
+(* Properties with unbound parallel rt-computation on all entries ***********)
 
-lemma csx_lpxs_conf: ∀h,o,G,L1,L2. ⦃G, L1⦄ ⊢ ➡*[h, o] L2 →
-                     ∀T. ⦃G, L1⦄ ⊢ ⬊*[h, o] T → ⦃G, L2⦄ ⊢ ⬊*[h, o] T.
-#h #o #G #L1 #L2 #H @(lpxs_ind … H) -L2 /3 by lpxs_strap1, csx_lpx_conf/
+lemma csx_lpxs_conf: ∀h,G,L1,L2,T. ❪G,L1❫ ⊢ ⬈*[h] L2 →
+                     ❪G,L1❫ ⊢ ⬈*[h] 𝐒❪T❫ → ❪G,L2❫ ⊢ ⬈*[h] 𝐒❪T❫.
+#h #G #L1 #L2 #T #H @(lpxs_ind_dx … H) -L2
+/3 by lpxs_step_dx, csx_lpx_conf/
 qed-.