update in ground static_2 basic_2 apps_2

[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 76ff1a2a1c7d69d12bae7f37c2ef4984b820da6b..a77772154ad63061957cdc24a4a9b950cfd89b2c 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
@@ -21,39 +21,39 @@ 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\9dªG,L1â\9d« ⊢ T1 ![h,a] →
-           â\88\80n,T2. â\9dªG,L1â\9d« ⊢ T1 ➡[h,n] T2 →
-           â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9dªG,L2â\9d« ⊢ T2 ![h,a].
+           λG,L1,T1. â\9d¨G,L1â\9d© ⊢ T1 ![h,a] →
+           â\88\80n,T2. â\9d¨G,L1â\9d© ⊢ T1 ➡[h,n] T2 →
+           â\88\80L2. â\9d¨G,L1â\9d© â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9d¨G,L2â\9d© ⊢ T2 ![h,a].
 
 definition IH_cnv_cpms_trans_lpr (h) (a): relation3 genv lenv term ≝
-           λG,L1,T1. â\9dªG,L1â\9d« ⊢ T1 ![h,a] →
-           â\88\80n,T2. â\9dªG,L1â\9d« ⊢ T1 ➡*[h,n] T2 →
-           â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9dªG,L2â\9d« ⊢ T2 ![h,a].
+           λG,L1,T1. â\9d¨G,L1â\9d© ⊢ T1 ![h,a] →
+           â\88\80n,T2. â\9d¨G,L1â\9d© ⊢ T1 ➡*[h,n] T2 →
+           â\88\80L2. â\9d¨G,L1â\9d© â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9d¨G,L2â\9d© ⊢ T2 ![h,a].
 
 definition IH_cnv_cpm_conf_lpr (h) (a): relation3 genv lenv term ≝
-           λG,L0,T0. â\9dªG,L0â\9d« ⊢ T0 ![h,a] →
-           â\88\80n1,T1. â\9dªG,L0â\9d« â\8a¢ T0 â\9e¡[h,n1] T1 â\86\92 â\88\80n2,T2. â\9dªG,L0â\9d« ⊢ T0 ➡[h,n2] T2 →
-           â\88\80L1. â\9dªG,L0â\9d« â\8a¢ â\9e¡[h,0] L1 â\86\92 â\88\80L2. â\9dªG,L0â\9d« ⊢ ➡[h,0] L2 →
-           â\88\83â\88\83T. â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[h,n2-n1] T & â\9dªG,L2â\9d« ⊢ T2 ➡*[h,n1-n2] T.
+           λG,L0,T0. â\9d¨G,L0â\9d© ⊢ T0 ![h,a] →
+           â\88\80n1,T1. â\9d¨G,L0â\9d© â\8a¢ T0 â\9e¡[h,n1] T1 â\86\92 â\88\80n2,T2. â\9d¨G,L0â\9d© ⊢ T0 ➡[h,n2] T2 →
+           â\88\80L1. â\9d¨G,L0â\9d© â\8a¢ â\9e¡[h,0] L1 â\86\92 â\88\80L2. â\9d¨G,L0â\9d© ⊢ ➡[h,0] L2 →
+           â\88\83â\88\83T. â\9d¨G,L1â\9d© â\8a¢ T1 â\9e¡*[h,n2-n1] T & â\9d¨G,L2â\9d© ⊢ T2 ➡*[h,n1-n2] T.
 
 definition IH_cnv_cpms_strip_lpr (h) (a): relation3 genv lenv term ≝
-           λG,L0,T0. â\9dªG,L0â\9d« ⊢ T0 ![h,a] →
-           â\88\80n1,T1. â\9dªG,L0â\9d« â\8a¢ T0 â\9e¡*[h,n1] T1 â\86\92 â\88\80n2,T2. â\9dªG,L0â\9d« ⊢ T0 ➡[h,n2] T2 →
-           â\88\80L1. â\9dªG,L0â\9d« â\8a¢ â\9e¡[h,0] L1 â\86\92 â\88\80L2. â\9dªG,L0â\9d« ⊢ ➡[h,0] L2 →
-           â\88\83â\88\83T. â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[h,n2-n1] T & â\9dªG,L2â\9d« ⊢ T2 ➡*[h,n1-n2] T.
+           λG,L0,T0. â\9d¨G,L0â\9d© ⊢ T0 ![h,a] →
+           â\88\80n1,T1. â\9d¨G,L0â\9d© â\8a¢ T0 â\9e¡*[h,n1] T1 â\86\92 â\88\80n2,T2. â\9d¨G,L0â\9d© ⊢ T0 ➡[h,n2] T2 →
+           â\88\80L1. â\9d¨G,L0â\9d© â\8a¢ â\9e¡[h,0] L1 â\86\92 â\88\80L2. â\9d¨G,L0â\9d© ⊢ ➡[h,0] L2 →
+           â\88\83â\88\83T. â\9d¨G,L1â\9d© â\8a¢ T1 â\9e¡*[h,n2-n1] T & â\9d¨G,L2â\9d© ⊢ T2 ➡*[h,n1-n2] T.
 
 definition IH_cnv_cpms_conf_lpr (h) (a): relation3 genv lenv term ≝
-           λG,L0,T0. â\9dªG,L0â\9d« ⊢ T0 ![h,a] →
-           â\88\80n1,T1. â\9dªG,L0â\9d« â\8a¢ T0 â\9e¡*[h,n1] T1 â\86\92 â\88\80n2,T2. â\9dªG,L0â\9d« ⊢ T0 ➡*[h,n2] T2 →
-           â\88\80L1. â\9dªG,L0â\9d« â\8a¢ â\9e¡[h,0] L1 â\86\92 â\88\80L2. â\9dªG,L0â\9d« ⊢ ➡[h,0] L2 →
-           â\88\83â\88\83T. â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[h,n2-n1] T & â\9dªG,L2â\9d« ⊢ T2 ➡*[h,n1-n2] T.
+           λG,L0,T0. â\9d¨G,L0â\9d© ⊢ T0 ![h,a] →
+           â\88\80n1,T1. â\9d¨G,L0â\9d© â\8a¢ T0 â\9e¡*[h,n1] T1 â\86\92 â\88\80n2,T2. â\9d¨G,L0â\9d© ⊢ T0 ➡*[h,n2] T2 →
+           â\88\80L1. â\9d¨G,L0â\9d© â\8a¢ â\9e¡[h,0] L1 â\86\92 â\88\80L2. â\9d¨G,L0â\9d© ⊢ ➡[h,0] L2 →
+           â\88\83â\88\83T. â\9d¨G,L1â\9d© â\8a¢ T1 â\9e¡*[h,n2-n1] T & â\9d¨G,L2â\9d© ⊢ T2 ➡*[h,n1-n2] T.
 
 (* Auxiliary properties for preservation ************************************)
 
 fact cnv_cpms_trans_lpr_sub (h) (a):
      ∀G0,L0,T0.
-     (â\88\80G1,L1,T1. â\9dªG0,L0,T0â\9d« > 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« > â\9dªG1,L1,T1â\9d« → IH_cnv_cpms_trans_lpr h a G1 L1 T1.
+     (â\88\80G1,L1,T1. â\9d¨G0,L0,T0â\9d© > â\9d¨G1,L1,T1â\9d© → IH_cnv_cpm_trans_lpr h a G1 L1 T1) →
+     â\88\80G1,L1,T1. â\9d¨G0,L0,T0â\9d© > â\9d¨G1,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/
@@ -61,12 +61,12 @@ qed-.
 
 fact cnv_cpm_conf_lpr_sub (h) (a):
      ∀G0,L0,T0.
-     (â\88\80G1,L1,T1. â\9dªG0,L0,T0â\9d« > 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« > â\9dªG1,L1,T1â\9d« → IH_cnv_cpm_conf_lpr h a G1 L1 T1.
+     (â\88\80G1,L1,T1. â\9d¨G0,L0,T0â\9d© > â\9d¨G1,L1,T1â\9d© → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
+     â\88\80G1,L1,T1. â\9d¨G0,L0,T0â\9d© > â\9d¨G1,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\9dªG0,L0,T0â\9d« > 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« > â\9dªG1,L1,T1â\9d« → IH_cnv_cpms_strip_lpr h a G1 L1 T1.
+     (â\88\80G1,L1,T1. â\9d¨G0,L0,T0â\9d© > â\9d¨G1,L1,T1â\9d© → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
+     â\88\80G1,L1,T1. â\9d¨G0,L0,T0â\9d© > â\9d¨G1,L1,T1â\9d© → IH_cnv_cpms_strip_lpr h a G1 L1 T1.
 /3 width=8 by cpm_cpms/ qed-.