X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnta_preserve_cpcs.ma;h=ac57ad07477b08a41d527f41eed9e8182393152f;hp=383742b7ad93beb5d44e6a3e7d4598199e2344f5;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve_cpcs.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve_cpcs.ma
index 383742b7a..ac57ad074 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve_cpcs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve_cpcs.ma
@@ -21,23 +21,23 @@ include "basic_2/dynamic/nta_preserve.ma".
 
 (* Basic_1: uses: ty3_tred *)
 lemma nta_cprs_trans (h) (a) (G) (L):
-      ∀T,U1. ⦃G,L⦄ ⊢ T :[h,a] U1 → ∀U2. ⦃G,L⦄ ⊢ U1 ➡*[h] U2 → ⦃G,L⦄ ⊢ T :[h,a] U2.
+      ∀T,U1. ❪G,L❫ ⊢ T :[h,a] U1 → ∀U2. ❪G,L❫ ⊢ U1 ➡*[h] U2 → ❪G,L❫ ⊢ T :[h,a] U2.
 #h #a #G #L #T #U1 #H #U2 #HU12
 /4 width=4 by nta_conv_cnv, nta_fwd_cnv_dx, cnv_cpms_trans, cpcs_cprs_dx/
 qed-.
 
 (* Basic_1: uses: ty3_sred_back *)
 lemma cprs_nta_trans (h) (a) (G) (L):
-      ∀T1,U0. ⦃G,L⦄ ⊢ T1 :[h,a] U0 → ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[h] T2 →
-      ∀U. ⦃G,L⦄ ⊢ T2 :[h,a] U →  ⦃G,L⦄ ⊢ T1 :[h,a] U.
+      ∀T1,U0. ❪G,L❫ ⊢ T1 :[h,a] U0 → ∀T2. ❪G,L❫ ⊢ T1 ➡*[h] T2 →
+      ∀U. ❪G,L❫ ⊢ T2 :[h,a] U →  ❪G,L❫ ⊢ T1 :[h,a] U.
 #h #a #G #L #T1 #U0 #HT1 #T2 #HT12 #U #H
 lapply (nta_cprs_conf … HT1 … HT12) -HT12 #HT2
 /4 width=6 by nta_mono, nta_conv_cnv, nta_fwd_cnv_dx/
 qed-.
 
 lemma cprs_nta_trans_cnv (h) (a) (G) (L):
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[h] T2 →
-      ∀U. ⦃G,L⦄ ⊢ T2 :[h,a] U → ⦃G,L⦄ ⊢ T1 :[h,a] U.
+      ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → ∀T2. ❪G,L❫ ⊢ T1 ➡*[h] T2 →
+      ∀U. ❪G,L❫ ⊢ T2 :[h,a] U → ❪G,L❫ ⊢ T1 :[h,a] U.
 #h #a #G #L #T1 #HT1 #T2 #HT12 #U #H
 elim (cnv_nta_sn … HT1) -HT1 #U0 #HT1
 /2 width=3 by cprs_nta_trans/
@@ -45,8 +45,8 @@ qed-.
 
 (* Basic_1: uses: ty3_sconv *)
 lemma nta_cpcs_conf (h) (a) (G) (L):
-      ∀T1,U. ⦃G,L⦄ ⊢ T1 :[h,a] U → ∀T2. ⦃G,L⦄ ⊢ T1 ⬌*[h] T2 →
-      ∀U0. ⦃G,L⦄ ⊢ T2 :[h,a] U0 → ⦃G,L⦄ ⊢ T2 :[h,a] U.
+      ∀T1,U. ❪G,L❫ ⊢ T1 :[h,a] U → ∀T2. ❪G,L❫ ⊢ T1 ⬌*[h] T2 →
+      ∀U0. ❪G,L❫ ⊢ T2 :[h,a] U0 → ❪G,L❫ ⊢ T2 :[h,a] U.
 #h #a #G #L #T1 #U #HT1 #T2 #HT12 #U0 #HT2
 elim (cpcs_inv_cprs … HT12) -HT12 #T0 #HT10 #HT02
 /3 width=5 by  cprs_nta_trans, nta_cprs_conf/
@@ -54,8 +54,8 @@ qed-.
 
 (* Note: type preservation by valid r-equivalence *)
 lemma nta_cpcs_conf_cnv (h) (a) (G) (L):
-      ∀T1,U. ⦃G,L⦄ ⊢ T1 :[h,a] U →
-      ∀T2. ⦃G,L⦄ ⊢ T1 ⬌*[h] T2 → ⦃G,L⦄ ⊢ T2 ![h,a] → ⦃G,L⦄ ⊢ T2 :[h,a] U.
+      ∀T1,U. ❪G,L❫ ⊢ T1 :[h,a] U →
+      ∀T2. ❪G,L❫ ⊢ T1 ⬌*[h] T2 → ❪G,L❫ ⊢ T2 ![h,a] → ❪G,L❫ ⊢ T2 :[h,a] U.
 #h #a #G #L #T1 #U #HT1 #T2 #HT12 #HT2
 elim (cnv_nta_sn … HT2) -HT2 #U0 #HT2
 /2 width=3 by nta_cpcs_conf/