update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
index dfbcf7e487e76635ecf64acd42010ef56c7ebc45..c963c06a4c69d4dead9b268bd6f278ee577faca2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
@@ -21,7 +21,7 @@ include "basic_2/rt_computation/csx_gcr.ma".
 
 (* Main properties with atomic arity assignment *****************************)
 
-theorem aaa_csx: â\88\80h,G,L,T,A. â¦\83G,Lâ¦\84 â\8a¢ T â\81\9d A â\86\92 â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83Tâ¦\84.
+theorem aaa_csx: â\88\80h,G,L,T,A. â\9dªG,Lâ\9d« â\8a¢ T â\81\9d A â\86\92 â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªTâ\9d«.
 #h #G #L #T #A #H
 @(gcr_aaa … (csx_gcp h) (csx_gcr h) … H)
 qed.
@@ -29,32 +29,32 @@ qed.
 (* Advanced eliminators *****************************************************)
 
 fact aaa_ind_csx_aux: ∀h,G,L,A. ∀Q:predicate term.
-                      (â\88\80T1. â¦\83G,Lâ¦\84 ⊢ T1 ⁝ A →
-                            (â\88\80T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                      (â\88\80T1. â\9dªG,Lâ\9d« ⊢ T1 ⁝ A →
+                            (â\88\80T2. â\9dªG,Lâ\9d« ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                       ) →
-                      â\88\80T. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83Tâ¦\84 â\86\92 â¦\83G,Lâ¦\84 ⊢ T ⁝ A →  Q T.
+                      â\88\80T. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªTâ\9d« â\86\92 â\9dªG,Lâ\9d« ⊢ T ⁝ A →  Q T.
 #h #G #L #A #Q #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
 qed-.
 
 lemma aaa_ind_csx: ∀h,G,L,A. ∀Q:predicate term.
-                   (â\88\80T1. â¦\83G,Lâ¦\84 ⊢ T1 ⁝ A →
-                         (â\88\80T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                   (â\88\80T1. â\9dªG,Lâ\9d« ⊢ T1 ⁝ A →
+                         (â\88\80T2. â\9dªG,Lâ\9d« ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                    ) →
-                   â\88\80T. â¦\83G,Lâ¦\84 ⊢ T ⁝ A → Q T.
+                   â\88\80T. â\9dªG,Lâ\9d« ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_aux, aaa_csx/ qed-.
 
 fact aaa_ind_csx_cpxs_aux: ∀h,G,L,A. ∀Q:predicate term.
-                           (â\88\80T1. â¦\83G,Lâ¦\84 ⊢ T1 ⁝ A →
-                                 (â\88\80T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                           (â\88\80T1. â\9dªG,Lâ\9d« ⊢ T1 ⁝ A →
+                                 (â\88\80T2. â\9dªG,Lâ\9d« ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                            ) →
-                           â\88\80T. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83Tâ¦\84 â\86\92 â¦\83G,Lâ¦\84 ⊢ T ⁝ A →  Q T.
+                           â\88\80T. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªTâ\9d« â\86\92 â\9dªG,Lâ\9d« ⊢ T ⁝ A →  Q T.
 #h #G #L #A #Q #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
 qed-.
 
 (* Basic_2A1: was: aaa_ind_csx_alt *)
 lemma aaa_ind_csx_cpxs: ∀h,G,L,A. ∀Q:predicate term.
-                        (â\88\80T1. â¦\83G,Lâ¦\84 ⊢ T1 ⁝ A →
-                              (â\88\80T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                        (â\88\80T1. â\9dªG,Lâ\9d« ⊢ T1 ⁝ A →
+                              (â\88\80T2. â\9dªG,Lâ\9d« ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                         ) →
-                        â\88\80T. â¦\83G,Lâ¦\84 ⊢ T ⁝ A → Q T.
+                        â\88\80T. â\9dªG,Lâ\9d« ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.