update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve.ma
index 9763d082ac986bfbe89de6466cacc63b8ed76cd5..a7027e195ec234695a8765ea597b271c1946adaf 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve.ma
@@ -19,7 +19,7 @@ include "basic_2/dynamic/cnv_cpms_conf.ma".
 (* Main preservation properties *********************************************)
 
 (* Basic_2A1: uses: snv_preserve *)
-lemma cnv_preserve (h) (a): â\88\80G,L,T. â¦\83G,Lâ¦\84 ⊢ T ![h,a] →
+lemma cnv_preserve (h) (a): â\88\80G,L,T. â\9dªG,Lâ\9d« ⊢ T ![h,a] →
       ∧∧ IH_cnv_cpms_conf_lpr h a G L T
        & IH_cnv_cpm_trans_lpr h a G L T.
 #h #a #G #L #T #HT
@@ -42,9 +42,9 @@ qed-.
 (* Advanced preservation properties *****************************************)
 
 lemma cnv_cpms_conf (h) (a) (G) (L):
-      â\88\80T0. â¦\83G,Lâ¦\84 ⊢ T0 ![h,a] →
-      â\88\80n1,T1. â¦\83G,Lâ¦\84 â\8a¢ T0 â\9e¡*[n1,h] T1 â\86\92 â\88\80n2,T2. â¦\83G,Lâ¦\84 ⊢ T0 ➡*[n2,h] T2 →
-      â\88\83â\88\83T. â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡*[n2-n1,h] T & â¦\83G,Lâ¦\84 ⊢ T2 ➡*[n1-n2,h] T.
+      â\88\80T0. â\9dªG,Lâ\9d« ⊢ T0 ![h,a] →
+      â\88\80n1,T1. â\9dªG,Lâ\9d« â\8a¢ T0 â\9e¡*[n1,h] T1 â\86\92 â\88\80n2,T2. â\9dªG,Lâ\9d« ⊢ T0 ➡*[n2,h] T2 →
+      â\88\83â\88\83T. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡*[n2-n1,h] T & â\9dªG,Lâ\9d« ⊢ T2 ➡*[n1-n2,h] T.
 /2 width=8 by cnv_cpms_conf_lpr/ qed-.
 
 (* Basic_2A1: uses: snv_cprs_lpr *)
@@ -54,22 +54,22 @@ lemma cnv_cpms_trans_lpr (h) (a) (G) (L) (T): IH_cnv_cpms_trans_lpr h a G L T.
 qed-.
 
 lemma cnv_cpm_trans (h) (a) (G) (L):
-      â\88\80T1. â¦\83G,Lâ¦\84 ⊢ T1 ![h,a] →
-      â\88\80n,T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡[n,h] T2 â\86\92 â¦\83G,Lâ¦\84 ⊢ T2 ![h,a].
+      â\88\80T1. â\9dªG,Lâ\9d« ⊢ T1 ![h,a] →
+      â\88\80n,T2. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡[n,h] T2 â\86\92 â\9dªG,Lâ\9d« ⊢ T2 ![h,a].
 /2 width=6 by cnv_cpm_trans_lpr/ qed-.
 
 (* Note: this is the preservation property *)
 lemma cnv_cpms_trans (h) (a) (G) (L):
-      â\88\80T1. â¦\83G,Lâ¦\84 ⊢ T1 ![h,a] →
-      â\88\80n,T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡*[n,h] T2 â\86\92 â¦\83G,Lâ¦\84 ⊢ T2 ![h,a].
+      â\88\80T1. â\9dªG,Lâ\9d« ⊢ T1 ![h,a] →
+      â\88\80n,T2. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡*[n,h] T2 â\86\92 â\9dªG,Lâ\9d« ⊢ T2 ![h,a].
 /2 width=6 by cnv_cpms_trans_lpr/ qed-.
 
 lemma cnv_lpr_trans (h) (a) (G):
-      â\88\80L1,T. â¦\83G,L1â¦\84 â\8a¢ T ![h,a] â\86\92 â\88\80L2. â¦\83G,L1â¦\84 â\8a¢ â\9e¡[h] L2 â\86\92 â¦\83G,L2â¦\84 ⊢ T ![h,a].
+      â\88\80L1,T. â\9dªG,L1â\9d« â\8a¢ T ![h,a] â\86\92 â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h] L2 â\86\92 â\9dªG,L2â\9d« ⊢ T ![h,a].
 /2 width=6 by cnv_cpm_trans_lpr/ qed-.
 
 lemma cnv_lprs_trans (h) (a) (G):
-      â\88\80L1,T. â¦\83G,L1â¦\84 â\8a¢ T ![h,a] â\86\92 â\88\80L2. â¦\83G,L1â¦\84 â\8a¢ â\9e¡*[h] L2 â\86\92 â¦\83G,L2â¦\84 ⊢ T ![h,a].
+      â\88\80L1,T. â\9dªG,L1â\9d« â\8a¢ T ![h,a] â\86\92 â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡*[h] L2 â\86\92 â\9dªG,L2â\9d« ⊢ T ![h,a].
 #h #a #G #L1 #T #HT #L2 #H
 @(lprs_ind_dx … H) -L2 /2 width=3 by cnv_lpr_trans/
 qed-.