X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_preserve_sub.ma;h=970a2fd9667647e62a0f8834ba6f3f3ce5a0a86a;hp=94037ce79cd9628a784dd7cfea6e9015bdf0a048;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

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 94037ce79..970a2fd96 100644
--- 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. ⦃G,L1⦄ ⊢ T1 ![h,a] →
-                                ∀n,T2. ⦃G,L1⦄ ⊢ T1 ➡[n,h] T2 →
-                                ∀L2. ⦃G,L1⦄ ⊢ ➡[h] L2 → ⦃G,L2⦄ ⊢ T2 ![h,a].
+                                λG,L1,T1. ❪G,L1❫ ⊢ T1 ![h,a] →
+                                ∀n,T2. ❪G,L1❫ ⊢ T1 ➡[n,h] T2 →
+                                ∀L2. ❪G,L1❫ ⊢ ➡[h] L2 → ❪G,L2❫ ⊢ T2 ![h,a].
 
 definition IH_cnv_cpms_trans_lpr (h) (a): relation3 genv lenv term ≝
-                                 λG,L1,T1. ⦃G,L1⦄ ⊢ T1 ![h,a] →
-                                 ∀n,T2. ⦃G,L1⦄ ⊢ T1 ➡*[n,h] T2 →
-                                 ∀L2. ⦃G,L1⦄ ⊢ ➡[h] L2 → ⦃G,L2⦄ ⊢ T2 ![h,a].
+                                 λG,L1,T1. ❪G,L1❫ ⊢ T1 ![h,a] →
+                                 ∀n,T2. ❪G,L1❫ ⊢ T1 ➡*[n,h] T2 →
+                                 ∀L2. ❪G,L1❫ ⊢ ➡[h] L2 → ❪G,L2❫ ⊢ T2 ![h,a].
 
 definition IH_cnv_cpm_conf_lpr (h) (a): relation3 genv lenv term ≝
-                               λG,L0,T0. ⦃G,L0⦄ ⊢ T0 ![h,a] →
-                               ∀n1,T1. ⦃G,L0⦄ ⊢ T0 ➡[n1,h] T1 → ∀n2,T2. ⦃G,L0⦄ ⊢ T0 ➡[n2,h] T2 →
-                               ∀L1. ⦃G,L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G,L0⦄ ⊢ ➡[h] L2 →
-                               ∃∃T. ⦃G,L1⦄ ⊢ T1 ➡*[n2-n1,h] T & ⦃G,L2⦄ ⊢ T2 ➡*[n1-n2,h] T.
+                               λG,L0,T0. ❪G,L0❫ ⊢ T0 ![h,a] →
+                               ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡[n1,h] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[n2,h] T2 →
+                               ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h] L2 →
+                               ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[n2-n1,h] T & ❪G,L2❫ ⊢ T2 ➡*[n1-n2,h] T.
 
 definition IH_cnv_cpms_strip_lpr (h) (a): relation3 genv lenv term ≝
-                                 λG,L0,T0. ⦃G,L0⦄ ⊢ T0 ![h,a] →
-                                 ∀n1,T1. ⦃G,L0⦄ ⊢ T0 ➡*[n1,h] T1 → ∀n2,T2. ⦃G,L0⦄ ⊢ T0 ➡[n2,h] T2 →
-                                 ∀L1. ⦃G,L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G,L0⦄ ⊢ ➡[h] L2 →
-                                 ∃∃T. ⦃G,L1⦄ ⊢ T1 ➡*[n2-n1,h] T & ⦃G,L2⦄ ⊢ T2 ➡*[n1-n2,h] T.
+                                 λG,L0,T0. ❪G,L0❫ ⊢ T0 ![h,a] →
+                                 ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡*[n1,h] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[n2,h] T2 →
+                                 ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h] L2 →
+                                 ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[n2-n1,h] T & ❪G,L2❫ ⊢ T2 ➡*[n1-n2,h] T.
 
 definition IH_cnv_cpms_conf_lpr (h) (a): relation3 genv lenv term ≝
-                                λG,L0,T0. ⦃G,L0⦄ ⊢ T0 ![h,a] →
-                                ∀n1,T1. ⦃G,L0⦄ ⊢ T0 ➡*[n1,h] T1 → ∀n2,T2. ⦃G,L0⦄ ⊢ T0 ➡*[n2,h] T2 →
-                                ∀L1. ⦃G,L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G,L0⦄ ⊢ ➡[h] L2 →
-                                ∃∃T. ⦃G,L1⦄ ⊢ T1 ➡*[n2-n1,h] T & ⦃G,L2⦄ ⊢ T2 ➡*[n1-n2,h] T.
+                                λG,L0,T0. ❪G,L0❫ ⊢ T0 ![h,a] →
+                                ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡*[n1,h] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡*[n2,h] T2 →
+                                ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h] L2 →
+                                ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[n2-n1,h] T & ❪G,L2❫ ⊢ T2 ➡*[n1-n2,h] T.
 
 (* Auxiliary properties for preservation ************************************)
 
 fact cnv_cpms_trans_lpr_sub (h) (a):
      ∀G0,L0,T0.
-     (∀G1,L1,T1. ⦃G0,L0,T0⦄ >[h] ⦃G1,L1,T1⦄ → IH_cnv_cpm_trans_lpr h a G1 L1 T1) →
-     ∀G1,L1,T1. ⦃G0,L0,T0⦄ >[h] ⦃G1,L1,T1⦄ → IH_cnv_cpms_trans_lpr h a G1 L1 T1.
+     (∀G1,L1,T1. ❪G0,L0,T0❫ >[h] ❪G1,L1,T1❫ → IH_cnv_cpm_trans_lpr h a G1 L1 T1) →
+     ∀G1,L1,T1. ❪G0,L0,T0❫ >[h] ❪G1,L1,T1❫ → 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.
-     (∀G1,L1,T1. ⦃G0,L0,T0⦄ >[h] ⦃G1,L1,T1⦄ → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
-     ∀G1,L1,T1. ⦃G0,L0,T0⦄ >[h] ⦃G1,L1,T1⦄ → IH_cnv_cpm_conf_lpr h a G1 L1 T1.
+     (∀G1,L1,T1. ❪G0,L0,T0❫ >[h] ❪G1,L1,T1❫ → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
+     ∀G1,L1,T1. ❪G0,L0,T0❫ >[h] ❪G1,L1,T1❫ → 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.
-     (∀G1,L1,T1. ⦃G0,L0,T0⦄ >[h] ⦃G1,L1,T1⦄ → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
-     ∀G1,L1,T1. ⦃G0,L0,T0⦄ >[h] ⦃G1,L1,T1⦄ → IH_cnv_cpms_strip_lpr h a G1 L1 T1.
+     (∀G1,L1,T1. ❪G0,L0,T0❫ >[h] ❪G1,L1,T1❫ → IH_cnv_cpms_conf_lpr h a G1 L1 T1) →
+     ∀G1,L1,T1. ❪G0,L0,T0❫ >[h] ❪G1,L1,T1❫ → IH_cnv_cpms_strip_lpr h a G1 L1 T1.
 /3 width=8 by cpm_cpms/ qed-.