update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma
index 33262e95a3a6837d6cb389ef2dcbaff9178b4105..9ed4a0b59acfa35b9975d7644078c4c662393c31 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma
@@ -22,13 +22,13 @@ include "basic_2/rt_computation/csx_csx.ma".
 
 (* Basic_1: was just: sn3_intro *)
 lemma csx_intro_cpxs: ∀h,G,L,T1.
-                      (â\88\80T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â¬\88*[h] T2 â\86\92 (T1 â\89\9b T2 â\86\92 â\8a¥) â\86\92 â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T2â¦\84) →
-                      â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84.
+                      (â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T1 â¬\88*[h] T2 â\86\92 (T1 â\89\9b T2 â\86\92 â\8a¥) â\86\92 â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT2â\9d«) →
+                      â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT1â\9d«.
 /4 width=1 by cpx_cpxs, csx_intro/ qed-.
 
 (* Basic_1: was just: sn3_pr3_trans *)
-lemma csx_cpxs_trans: â\88\80h,G,L,T1. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84 →
-                      â\88\80T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â¬\88*[h] T2 â\86\92 â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T2â¦\84.
+lemma csx_cpxs_trans: â\88\80h,G,L,T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT1â\9d« →
+                      â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T1 â¬\88*[h] T2 â\86\92 â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT2â\9d«.
 #h #G #L #T1 #HT1 #T2 #H @(cpxs_ind … H) -T2
 /2 width=3 by csx_cpx_trans/
 qed-.
@@ -36,11 +36,11 @@ qed-.
 (* Eliminators with unbound context-sensitive rt-computation for terms ******)
 
 lemma csx_ind_cpxs_teqx: ∀h,G,L. ∀Q:predicate term.
-                         (â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84 →
-                               (â\88\80T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                         (â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT1â\9d« →
+                               (â\88\80T2. â\9dªG,Lâ\9d« ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                          ) →
-                         â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84 →
-                         â\88\80T0. â¦\83G,Lâ¦\84 ⊢ T1 ⬈*[h] T0 → ∀T2. T0 ≛ T2 → Q T2.
+                         â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT1â\9d« →
+                         â\88\80T0. â\9dªG,Lâ\9d« ⊢ T1 ⬈*[h] T0 → ∀T2. T0 ≛ T2 → Q T2.
 #h #G #L #Q #IH #T1 #H @(csx_ind … H) -T1
 #T1 #HT1 #IH1 #T0 #HT10 #T2 #HT02
 @IH -IH /3 width=3 by csx_cpxs_trans, csx_teqx_trans/ -HT1 #V2 #HTV2 #HnTV2
@@ -60,10 +60,10 @@ qed-.
 
 (* Basic_2A1: was: csx_ind_alt *)
 lemma csx_ind_cpxs: ∀h,G,L. ∀Q:predicate term.
-                    (â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ â¬\88*[h] ð\9d\90\92â¦\83T1â¦\84 →
-                          (â\88\80T2. â¦\83G,Lâ¦\84 ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                    (â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªT1â\9d« →
+                          (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 →  Q T.
+                    â\88\80T. â\9dªG,Lâ\9d« â\8a¢ â¬\88*[h] ð\9d\90\92â\9dªTâ\9d« →  Q T.
 #h #G #L #Q #IH #T #HT
 @(csx_ind_cpxs_teqx … IH … HT) -IH -HT // (**) (* full auto fails *)
 qed-.