X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_preserve.ma;h=a92a62abed730e35bd81eb1c595f212a9b746a4a;hb=e0c91d8a4422da0b39aca790e5826dc8a617b303;hp=9763d082ac986bfbe89de6466cacc63b8ed76cd5;hpb=5b5dca0c118dfbe3ba8f0514ef07549544eb7810;p=helm.git

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 9763d082a..a92a62abe 100644
--- 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): ∀G,L,T. ⦃G,L⦄ ⊢ T ![h,a] →
+lemma cnv_preserve (h) (a): ∀G,L,T. ❨G,L❩ ⊢ 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):
-      ∀T0. ⦃G,L⦄ ⊢ T0 ![h,a] →
-      ∀n1,T1. ⦃G,L⦄ ⊢ T0 ➡*[n1,h] T1 → ∀n2,T2. ⦃G,L⦄ ⊢ T0 ➡*[n2,h] T2 →
-      ∃∃T. ⦃G,L⦄ ⊢ T1 ➡*[n2-n1,h] T & ⦃G,L⦄ ⊢ T2 ➡*[n1-n2,h] T.
+      ∀T0. ❨G,L❩ ⊢ T0 ![h,a] →
+      ∀n1,T1. ❨G,L❩ ⊢ T0 ➡*[h,n1] T1 → ∀n2,T2. ❨G,L❩ ⊢ T0 ➡*[h,n2] T2 →
+      ∃∃T. ❨G,L❩ ⊢ T1 ➡*[h,n2-n1] T & ❨G,L❩ ⊢ T2 ➡*[h,n1-n2] 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):
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] →
-      ∀n,T2. ⦃G,L⦄ ⊢ T1 ➡[n,h] T2 → ⦃G,L⦄ ⊢ T2 ![h,a].
+      ∀T1. ❨G,L❩ ⊢ T1 ![h,a] →
+      ∀n,T2. ❨G,L❩ ⊢ T1 ➡[h,n] T2 → ❨G,L❩ ⊢ 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):
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] →
-      ∀n,T2. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G,L⦄ ⊢ T2 ![h,a].
+      ∀T1. ❨G,L❩ ⊢ T1 ![h,a] →
+      ∀n,T2. ❨G,L❩ ⊢ T1 ➡*[h,n] T2 → ❨G,L❩ ⊢ T2 ![h,a].
 /2 width=6 by cnv_cpms_trans_lpr/ qed-.
 
 lemma cnv_lpr_trans (h) (a) (G):
-      ∀L1,T. ⦃G,L1⦄ ⊢ T ![h,a] → ∀L2. ⦃G,L1⦄ ⊢ ➡[h] L2 → ⦃G,L2⦄ ⊢ T ![h,a].
+      ∀L1,T. ❨G,L1❩ ⊢ T ![h,a] → ∀L2. ❨G,L1❩ ⊢ ➡[h,0] L2 → ❨G,L2❩ ⊢ T ![h,a].
 /2 width=6 by cnv_cpm_trans_lpr/ qed-.
 
 lemma cnv_lprs_trans (h) (a) (G):
-      ∀L1,T. ⦃G,L1⦄ ⊢ T ![h,a] → ∀L2. ⦃G,L1⦄ ⊢ ➡*[h] L2 → ⦃G,L2⦄ ⊢ T ![h,a].
+      ∀L1,T. ❨G,L1❩ ⊢ T ![h,a] → ∀L2. ❨G,L1❩ ⊢ ➡*[h,0] L2 → ❨G,L2❩ ⊢ T ![h,a].
 #h #a #G #L1 #T #HT #L2 #H
 @(lprs_ind_dx … H) -L2 /2 width=3 by cnv_lpr_trans/
 qed-.