update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_preserve_sub.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_sub.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_sub.ma
index 94037ce79cd9628a784dd7cfea6e9015bdf0a048..970a2fd9667647e62a0f8834ba6f3f3ce5a0a86a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_sub.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_sub.ma
@@ -20,39 +20,39 @@ include "basic_2/dynamic/cnv.ma".
 (* Inductive premises for the preservation results **************************)
 
 definition IH_cnv_cpm_trans_lpr (h) (a): relation3 genv lenv term ≝
-                                λG,L1,T1. â¦\83G,L1â¦\84 ⊢ T1 ![h,a] →
-                                â\88\80n,T2. â¦\83G,L1â¦\84 ⊢ T1 ➡[n,h] T2 →
-                                â\88\80L2. â¦\83G,L1â¦\84 â\8a¢ â\9e¡[h] L2 â\86\92 â¦\83G,L2â¦\84 ⊢ T2 ![h,a].
+                                λG,L1,T1. â\9dªG,L1â\9d« ⊢ T1 ![h,a] →
+                                â\88\80n,T2. â\9dªG,L1â\9d« ⊢ T1 ➡[n,h] T2 →
+                                â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h] L2 â\86\92 â\9dªG,L2â\9d« ⊢ T2 ![h,a].
 
 definition IH_cnv_cpms_trans_lpr (h) (a): relation3 genv lenv term ≝
-                                 λG,L1,T1. â¦\83G,L1â¦\84 ⊢ T1 ![h,a] →
-                                 â\88\80n,T2. â¦\83G,L1â¦\84 ⊢ T1 ➡*[n,h] T2 →
-                                 â\88\80L2. â¦\83G,L1â¦\84 â\8a¢ â\9e¡[h] L2 â\86\92 â¦\83G,L2â¦\84 ⊢ T2 ![h,a].
+                                 λG,L1,T1. â\9dªG,L1â\9d« ⊢ T1 ![h,a] →
+                                 â\88\80n,T2. â\9dªG,L1â\9d« ⊢ T1 ➡*[n,h] T2 →
+                                 â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h] L2 â\86\92 â\9dªG,L2â\9d« ⊢ T2 ![h,a].
 
 definition IH_cnv_cpm_conf_lpr (h) (a): relation3 genv lenv term ≝
-                               λG,L0,T0. â¦\83G,L0â¦\84 ⊢ T0 ![h,a] →
-                               â\88\80n1,T1. â¦\83G,L0â¦\84 â\8a¢ T0 â\9e¡[n1,h] T1 â\86\92 â\88\80n2,T2. â¦\83G,L0â¦\84 ⊢ T0 ➡[n2,h] T2 →
-                               â\88\80L1. â¦\83G,L0â¦\84 â\8a¢ â\9e¡[h] L1 â\86\92 â\88\80L2. â¦\83G,L0â¦\84 ⊢ ➡[h] L2 →
-                               â\88\83â\88\83T. â¦\83G,L1â¦\84 â\8a¢ T1 â\9e¡*[n2-n1,h] T & â¦\83G,L2â¦\84 ⊢ T2 ➡*[n1-n2,h] T.
+                               λG,L0,T0. â\9dªG,L0â\9d« ⊢ T0 ![h,a] →
+                               â\88\80n1,T1. â\9dªG,L0â\9d« â\8a¢ T0 â\9e¡[n1,h] T1 â\86\92 â\88\80n2,T2. â\9dªG,L0â\9d« ⊢ T0 ➡[n2,h] T2 →
+                               â\88\80L1. â\9dªG,L0â\9d« â\8a¢ â\9e¡[h] L1 â\86\92 â\88\80L2. â\9dªG,L0â\9d« ⊢ ➡[h] L2 →
+                               â\88\83â\88\83T. â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[n2-n1,h] T & â\9dªG,L2â\9d« ⊢ T2 ➡*[n1-n2,h] T.
 
 definition IH_cnv_cpms_strip_lpr (h) (a): relation3 genv lenv term ≝
-                                 λG,L0,T0. â¦\83G,L0â¦\84 ⊢ T0 ![h,a] →
-                                 â\88\80n1,T1. â¦\83G,L0â¦\84 â\8a¢ T0 â\9e¡*[n1,h] T1 â\86\92 â\88\80n2,T2. â¦\83G,L0â¦\84 ⊢ T0 ➡[n2,h] T2 →
-                                 â\88\80L1. â¦\83G,L0â¦\84 â\8a¢ â\9e¡[h] L1 â\86\92 â\88\80L2. â¦\83G,L0â¦\84 ⊢ ➡[h] L2 →
-                                 â\88\83â\88\83T. â¦\83G,L1â¦\84 â\8a¢ T1 â\9e¡*[n2-n1,h] T & â¦\83G,L2â¦\84 ⊢ T2 ➡*[n1-n2,h] T.
+                                 λG,L0,T0. â\9dªG,L0â\9d« ⊢ T0 ![h,a] →
+                                 â\88\80n1,T1. â\9dªG,L0â\9d« â\8a¢ T0 â\9e¡*[n1,h] T1 â\86\92 â\88\80n2,T2. â\9dªG,L0â\9d« ⊢ T0 ➡[n2,h] T2 →
+                                 â\88\80L1. â\9dªG,L0â\9d« â\8a¢ â\9e¡[h] L1 â\86\92 â\88\80L2. â\9dªG,L0â\9d« ⊢ ➡[h] L2 →
+                                 â\88\83â\88\83T. â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[n2-n1,h] T & â\9dªG,L2â\9d« ⊢ T2 ➡*[n1-n2,h] T.
 
 definition IH_cnv_cpms_conf_lpr (h) (a): relation3 genv lenv term ≝
-                                λG,L0,T0. â¦\83G,L0â¦\84 ⊢ T0 ![h,a] →
-                                â\88\80n1,T1. â¦\83G,L0â¦\84 â\8a¢ T0 â\9e¡*[n1,h] T1 â\86\92 â\88\80n2,T2. â¦\83G,L0â¦\84 ⊢ T0 ➡*[n2,h] T2 →
-                                â\88\80L1. â¦\83G,L0â¦\84 â\8a¢ â\9e¡[h] L1 â\86\92 â\88\80L2. â¦\83G,L0â¦\84 ⊢ ➡[h] L2 →
-                                â\88\83â\88\83T. â¦\83G,L1â¦\84 â\8a¢ T1 â\9e¡*[n2-n1,h] T & â¦\83G,L2â¦\84 ⊢ T2 ➡*[n1-n2,h] T.
+                                λG,L0,T0. â\9dªG,L0â\9d« ⊢ T0 ![h,a] →
+                                â\88\80n1,T1. â\9dªG,L0â\9d« â\8a¢ T0 â\9e¡*[n1,h] T1 â\86\92 â\88\80n2,T2. â\9dªG,L0â\9d« ⊢ T0 ➡*[n2,h] T2 →
+                                â\88\80L1. â\9dªG,L0â\9d« â\8a¢ â\9e¡[h] L1 â\86\92 â\88\80L2. â\9dªG,L0â\9d« ⊢ ➡[h] L2 →
+                                â\88\83â\88\83T. â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[n2-n1,h] T & â\9dªG,L2â\9d« ⊢ T2 ➡*[n1-n2,h] T.
 
 (* Auxiliary properties for preservation ************************************)
 
 fact cnv_cpms_trans_lpr_sub (h) (a):
      ∀G0,L0,T0.
-     (â\88\80G1,L1,T1. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G1,L1,T1â¦\84 → IH_cnv_cpm_trans_lpr h a G1 L1 T1) →
-     â\88\80G1,L1,T1. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G1,L1,T1â¦\84 → IH_cnv_cpms_trans_lpr h a G1 L1 T1.
+     (â\88\80G1,L1,T1. â\9dªG0,L0,T0â\9d« >[h] â\9dªG1,L1,T1â\9d« → IH_cnv_cpm_trans_lpr h a G1 L1 T1) →
+     â\88\80G1,L1,T1. â\9dªG0,L0,T0â\9d« >[h] â\9dªG1,L1,T1â\9d« → IH_cnv_cpms_trans_lpr h a G1 L1 T1.
 #h #a #G0 #L0 #T0 #IH #G1 #L1 #T1 #H01 #HT1 #n #T2 #H
 @(cpms_ind_dx … H) -n -T2
 /3 width=7 by fpbg_cpms_trans/
@@ -60,12 +60,12 @@ qed-.
 
 fact cnv_cpm_conf_lpr_sub (h) (a):
      ∀G0,L0,T0.
-     (â\88\80G1,L1,T1. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G1,L1,T1â¦\84 → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
-     â\88\80G1,L1,T1. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G1,L1,T1â¦\84 → IH_cnv_cpm_conf_lpr h a G1 L1 T1.
+     (â\88\80G1,L1,T1. â\9dªG0,L0,T0â\9d« >[h] â\9dªG1,L1,T1â\9d« → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
+     â\88\80G1,L1,T1. â\9dªG0,L0,T0â\9d« >[h] â\9dªG1,L1,T1â\9d« → IH_cnv_cpm_conf_lpr h a G1 L1 T1.
 /3 width=8 by cpm_cpms/ qed-.
 
 fact cnv_cpms_strip_lpr_sub (h) (a):
      ∀G0,L0,T0.
-     (â\88\80G1,L1,T1. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G1,L1,T1â¦\84 → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
-     â\88\80G1,L1,T1. â¦\83G0,L0,T0â¦\84 >[h] â¦\83G1,L1,T1â¦\84 → IH_cnv_cpms_strip_lpr h a G1 L1 T1.
+     (â\88\80G1,L1,T1. â\9dªG0,L0,T0â\9d« >[h] â\9dªG1,L1,T1â\9d« → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
+     â\88\80G1,L1,T1. â\9dªG0,L0,T0â\9d« >[h] â\9dªG1,L1,T1â\9d« → IH_cnv_cpms_strip_lpr h a G1 L1 T1.
 /3 width=8 by cpm_cpms/ qed-.