X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbs_fqup.ma;h=72c12b91e721c5591db79a5afad97bc0f5f45f6b;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=ccb50f6245c60c2017f5494a70567fce1619eae0;hpb=f308429a0fde273605a2330efc63268b4ac36c99;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
index ccb50f624..72c12b91e 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
@@ -13,33 +13,33 @@
 (**************************************************************************)
 
 include "static_2/s_computation/fqus_fqup.ma".
-include "static_2/static/fdeq_fqup.ma".
+include "static_2/static/feqx_fqup.ma".
 include "basic_2/rt_computation/fpbs_fqus.ma".
 
 (* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
 
 (* Advanced properties ******************************************************)
 
-lemma tdeq_fpbs_trans: ∀h,T1,T. T1 ≛ T →
-                       ∀G1,G2,L1,L2,T2. ⦃G1,L1,T⦄ ≥[h] ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
-/3 width=5 by fdeq_fpbs_trans, tdeq_fdeq/ qed-.
+lemma teqx_fpbs_trans: ∀h,T1,T. T1 ≛ T →
+                       ∀G1,G2,L1,L2,T2. ❪G1,L1,T❫ ≥[h] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥[h] ❪G2,L2,T2❫.
+/3 width=5 by feqx_fpbs_trans, teqx_feqx/ qed-.
 
-lemma fpbs_tdeq_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T⦄ →
-                       ∀T2. T ≛ T2 →  ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
-/3 width=5 by fpbs_fdeq_trans, tdeq_fdeq/ qed-.
+lemma fpbs_teqx_trans: ∀h,G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≥[h] ❪G2,L2,T❫ →
+                       ∀T2. T ≛ T2 →  ❪G1,L1,T1❫ ≥[h] ❪G2,L2,T2❫.
+/3 width=5 by fpbs_feqx_trans, teqx_feqx/ qed-.
 
 (* Properties with plus-iterated structural successor for closures **********)
 
-lemma fqup_fpbs: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⊐+ ⦃G2,L2,T2⦄ →
-                 ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
-#h #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2 
+lemma fqup_fpbs: ∀h,G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ →
+                 ❪G1,L1,T1❫ ≥[h] ❪G2,L2,T2❫.
+#h #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 /4 width=5 by fqu_fquq, fpbq_fquq, tri_step/
 qed.
 
-lemma fpbs_fqup_trans: ∀h,G1,G,L1,L,T1,T. ⦃G1,L1,T1⦄ ≥[h] ⦃G,L,T⦄ →
-                       ∀G2,L2,T2. ⦃G,L,T⦄ ⊐+ ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
+lemma fpbs_fqup_trans: ∀h,G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≥[h] ❪G,L,T❫ →
+                       ∀G2,L2,T2. ❪G,L,T❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≥[h] ❪G2,L2,T2❫.
 /3 width=5 by fpbs_fqus_trans, fqup_fqus/ qed-.
 
-lemma fqup_fpbs_trans: ∀h,G,G2,L,L2,T,T2. ⦃G,L,T⦄ ≥[h] ⦃G2,L2,T2⦄ →
-                       ∀G1,L1,T1. ⦃G1,L1,T1⦄ ⊐+ ⦃G,L,T⦄ → ⦃G1,L1,T1⦄ ≥[h] ⦃G2,L2,T2⦄.
+lemma fqup_fpbs_trans: ∀h,G,G2,L,L2,T,T2. ❪G,L,T❫ ≥[h] ❪G2,L2,T2❫ →
+                       ∀G1,L1,T1. ❪G1,L1,T1❫ ⬂+ ❪G,L,T❫ → ❪G1,L1,T1❫ ≥[h] ❪G2,L2,T2❫.
 /3 width=5 by fqus_fpbs_trans, fqup_fqus/ qed-.