update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx.ma
index 437457f659dc964c076482e3e70ee7f66322b235..07d9a8a9ef1bed6bf1ac6be234832b192e6143d1 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx.ma
@@ -28,11 +28,11 @@ interpretation
 (* Basic eliminators ********************************************************)
 
 lemma csx_ind (G) (L) (Q:predicate …):
-      (â\88\80T1. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 T1 →
-        (â\88\80T2. â\9dªG,Lâ\9d« ⊢ T1 ⬈ T2 → (T1 ≅ T2 → ⊥) → Q T2) →
+      (â\88\80T1. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 T1 →
+        (â\88\80T2. â\9d¨G,Lâ\9d© ⊢ T1 ⬈ T2 → (T1 ≅ T2 → ⊥) → Q T2) →
         Q T1
       ) →
-      â\88\80T. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 T →  Q T.
+      â\88\80T. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 T →  Q T.
 #G #L #Q #H0 #T1 #H elim H -T1
 /5 width=1 by SN_intro/
 qed-.
@@ -41,15 +41,15 @@ qed-.
 
 (* Basic_1: was just: sn3_pr2_intro *)
 lemma csx_intro (G) (L):
-      â\88\80T1. (â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T1 â¬\88 T2 â\86\92 (T1 â\89\85 T2 â\86\92 â\8a¥) â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 T2) →
-      â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 T1.
+      â\88\80T1. (â\88\80T2. â\9d¨G,Lâ\9d© â\8a¢ T1 â¬\88 T2 â\86\92 (T1 â\89\85 T2 â\86\92 â\8a¥) â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 T2) →
+      â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 T1.
 /4 width=1 by SN_intro/ qed.
 
 (* Basic forward lemmas *****************************************************)
 
 fact csx_fwd_pair_sn_aux (G) (L):
-     â\88\80U. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 U →
-     â\88\80I,V,T. U = â\91¡[I]V.T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 V.
+     â\88\80U. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 U →
+     â\88\80I,V,T. U = â\91¡[I]V.T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 V.
 #G #L #U #H elim H -H #U0 #_ #IH #I #V #T #H destruct
 @csx_intro #V2 #HLV2 #HV2
 @(IH (②[I]V2.T)) -IH /2 width=3 by cpx_pair_sn/ -HLV2 #H
@@ -58,12 +58,12 @@ qed-.
 
 (* Basic_1: was just: sn3_gen_head *)
 lemma csx_fwd_pair_sn (G) (L):
-      â\88\80I,V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 â\91¡[I]V.T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 V.
+      â\88\80I,V,T. â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 â\91¡[I]V.T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 V.
 /2 width=5 by csx_fwd_pair_sn_aux/ qed-.
 
 fact csx_fwd_bind_dx_aux (G) (L):
-     â\88\80U. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 U →
-     â\88\80p,I,V,T. U = â\93\91[p,I]V.T â\86\92 â\9dªG,L.â\93\91[I]Vâ\9d« ⊢ ⬈*𝐒 T.
+     â\88\80U. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 U →
+     â\88\80p,I,V,T. U = â\93\91[p,I]V.T â\86\92 â\9d¨G,L.â\93\91[I]Vâ\9d© ⊢ ⬈*𝐒 T.
 #G #L #U #H elim H -H #U0 #_ #IH #p #I #V #T #H destruct
 @csx_intro #T2 #HLT2 #HT2
 @(IH (ⓑ[p, I]V.T2)) -IH /2 width=3 by cpx_bind/ -HLT2 #H
@@ -72,12 +72,12 @@ qed-.
 
 (* Basic_1: was just: sn3_gen_bind *)
 lemma csx_fwd_bind_dx (G) (L):
-      â\88\80p,I,V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 â\93\91[p,I]V.T â\86\92 â\9dªG,L.â\93\91[I]Vâ\9d« ⊢ ⬈*𝐒 T.
+      â\88\80p,I,V,T. â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 â\93\91[p,I]V.T â\86\92 â\9d¨G,L.â\93\91[I]Vâ\9d© ⊢ ⬈*𝐒 T.
 /2 width=4 by csx_fwd_bind_dx_aux/ qed-.
 
 fact csx_fwd_flat_dx_aux (G) (L):
-     â\88\80U. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 U →
-     â\88\80I,V,T. U = â\93\95[I]V.T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 T.
+     â\88\80U. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 U →
+     â\88\80I,V,T. U = â\93\95[I]V.T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 T.
 #G #L #U #H elim H -H #U0 #_ #IH #I #V #T #H destruct
 @csx_intro #T2 #HLT2 #HT2
 @(IH (ⓕ[I]V.T2)) -IH /2 width=3 by cpx_flat/ -HLT2 #H
@@ -86,17 +86,17 @@ qed-.
 
 (* Basic_1: was just: sn3_gen_flat *)
 lemma csx_fwd_flat_dx (G) (L):
-      â\88\80I,V,T. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 â\93\95[I]V.T â\86\92 â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 T.
+      â\88\80I,V,T. â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 â\93\95[I]V.T â\86\92 â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 T.
 /2 width=5 by csx_fwd_flat_dx_aux/ qed-.
 
 lemma csx_fwd_bind (G) (L):
-      â\88\80p,I,V,T. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⓑ[p,I]V.T →
-      â\88§â\88§ â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 V & â\9dªG,L.â\93\91[I]Vâ\9d« ⊢ ⬈*𝐒 T.
+      â\88\80p,I,V,T. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⓑ[p,I]V.T →
+      â\88§â\88§ â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 V & â\9d¨G,L.â\93\91[I]Vâ\9d© ⊢ ⬈*𝐒 T.
 /3 width=3 by csx_fwd_pair_sn, csx_fwd_bind_dx, conj/ qed-.
 
 lemma csx_fwd_flat (G) (L):
-      â\88\80I,V,T. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 ⓕ[I]V.T →
-      â\88§â\88§ â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 V & â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 T.
+      â\88\80I,V,T. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 ⓕ[I]V.T →
+      â\88§â\88§ â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 V & â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 T.
 /3 width=3 by csx_fwd_pair_sn, csx_fwd_flat_dx, conj/ qed-.
 
 (* Basic_1: removed theorems 14: