update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / rex_fsle.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rex_fsle.ma b/matita/matita/contribs/lambdadelta/static_2/static/rex_fsle.ma
index 8e1fbedef5d969f9c58dbb1082a8c6824c39ba07..e4ea6e3d02b1a4d68ae82529c8ef2f2e44208f9f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/rex_fsle.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/rex_fsle.ma
@@ -20,21 +20,21 @@ include "static_2/static/rex_rex.ma".
 (* GENERIC EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ****)
 
 definition R_fsge_compatible: predicate (relation3 …) ≝ λRN.
-           â\88\80L,T1,T2. RN L T1 T2 â\86\92 â\9dªL,T2â\9d« â\8a\86 â\9dªL,T1â\9d«.
+           â\88\80L,T1,T2. RN L T1 T2 â\86\92 â\9d¨L,T2â\9d© â\8a\86 â\9d¨L,T1â\9d©.
 
 definition rex_fsge_compatible: predicate (relation3 …) ≝ λRN.
-           â\88\80L1,L2,T. L1 ⪤[RN,T] L2 â\86\92 â\9dªL2,Tâ\9d« â\8a\86 â\9dªL1,Tâ\9d«.
+           â\88\80L1,L2,T. L1 ⪤[RN,T] L2 â\86\92 â\9d¨L2,Tâ\9d© â\8a\86 â\9d¨L1,Tâ\9d©.
 
 definition rex_fsle_compatible: predicate (relation3 …) ≝ λRN.
-           â\88\80L1,L2,T. L1 ⪤[RN,T] L2 â\86\92 â\9dªL1,Tâ\9d« â\8a\86 â\9dªL2,Tâ\9d«.
+           â\88\80L1,L2,T. L1 ⪤[RN,T] L2 â\86\92 â\9d¨L1,Tâ\9d© â\8a\86 â\9d¨L2,Tâ\9d©.
 
 (* Basic inversions with free variables inclusion for restricted closures ***)
 
 lemma frees_sex_conf_fsge (R):
       rex_fsge_compatible R →
-      â\88\80L1,T,f1. L1 â\8a¢ ð\9d\90\85+â\9dªTâ\9d« ≘ f1 →
+      â\88\80L1,T,f1. L1 â\8a¢ ð\9d\90\85+â\9d¨Tâ\9d© ≘ f1 →
       ∀L2. L1 ⪤[cext2 R,cfull,f1] L2 →
-      â\88\83â\88\83f2. L2 â\8a¢ ð\9d\90\85+â\9dªTâ\9d« ≘ f2 & f2 ⊆ f1.
+      â\88\83â\88\83f2. L2 â\8a¢ ð\9d\90\85+â\9d¨Tâ\9d© ≘ f2 & f2 ⊆ f1.
 #R #HR #L1 #T #f1 #Hf1 #L2 #H1L
 lapply (HR L1 L2 T ?) /2 width=3 by ex2_intro/ #H2L
 @(fsle_frees_trans_eq … H2L … Hf1) /3 width=4 by sex_fwd_length, sym_eq/
@@ -42,9 +42,9 @@ qed-.
 
 lemma frees_sex_conf_fsle (R):
       rex_fsle_compatible R →
-      â\88\80L1,T,f1. L1 â\8a¢ ð\9d\90\85+â\9dªTâ\9d« ≘ f1 →
+      â\88\80L1,T,f1. L1 â\8a¢ ð\9d\90\85+â\9d¨Tâ\9d© ≘ f1 →
       ∀L2. L1 ⪤[cext2 R,cfull,f1] L2 →
-      â\88\83â\88\83f2. L2 â\8a¢ ð\9d\90\85+â\9dªTâ\9d« ≘ f2 & f1 ⊆ f2.
+      â\88\83â\88\83f2. L2 â\8a¢ ð\9d\90\85+â\9d¨Tâ\9d© ≘ f2 & f1 ⊆ f2.
 #R #HR #L1 #T #f1 #Hf1 #L2 #H1L
 lapply (HR L1 L2 T ?) /2 width=3 by ex2_intro/ #H2L
 @(fsle_frees_conf_eq … H2L … Hf1) /3 width=4 by sex_fwd_length, sym_eq/
@@ -54,7 +54,7 @@ qed-.
 
 (* Note: we just need lveq_inv_refl: ∀L, n1, n2. L ≋ⓧ*[n1, n2] L → ∧∧ 0 = n1 & 0 = n2 *)
 lemma fsge_rex_trans (R):
-      â\88\80L1,T1,T2. â\9dªL1,T1â\9d« â\8a\86 â\9dªL1,T2â\9d« →
+      â\88\80L1,T1,T2. â\9d¨L1,T1â\9d© â\8a\86 â\9d¨L1,T2â\9d© →
       ∀L2. L1 ⪤[R,T2] L2 → L1 ⪤[R,T1] L2.
 #R #L1 #T1 #T2 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #Hn #Hf #L2 #HL12
 elim (lveq_inj_length … Hn ?) // #H1 #H2 destruct