update in basic_2 and 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 970a2fd9667647e62a0f8834ba6f3f3ce5a0a86a..b9b06348d6a8a49ab7a81739a5f3c0c9d3436405 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
@@ -21,31 +21,31 @@ include "basic_2/dynamic/cnv.ma".
 
 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].
+                                ∀n,T2. ❪G,L1❫ ⊢ T1 ➡[h,n] T2 →
+                                ∀L2. ❪G,L1❫ ⊢ ➡[h,0] 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].
+                                 ∀n,T2. ❪G,L1❫ ⊢ T1 ➡*[h,n] T2 →
+                                 ∀L2. ❪G,L1❫ ⊢ ➡[h,0] 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.
+                               ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡[h,n1] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[h,n2] T2 →
+                               ∀L1. ❪G,L0❫ ⊢ ➡[h,0] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h,0] L2 →
+                               ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[h,n2-n1] T & ❪G,L2❫ ⊢ T2 ➡*[h,n1-n2] 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.
+                                 ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡*[h,n1] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[h,n2] T2 →
+                                 ∀L1. ❪G,L0❫ ⊢ ➡[h,0] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h,0] L2 →
+                                 ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[h,n2-n1] T & ❪G,L2❫ ⊢ T2 ➡*[h,n1-n2] 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.
+                                ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡*[h,n1] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡*[h,n2] T2 →
+                                ∀L1. ❪G,L0❫ ⊢ ➡[h,0] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h,0] L2 →
+                                ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[h,n2-n1] T & ❪G,L2❫ ⊢ T2 ➡*[h,n1-n2] T.
 
 (* Auxiliary properties for preservation ************************************)