syntactic components detached from basic_2 become static_2

[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 89f226a303d250a418bc11f5debfd80d26ce3390..6cc0664aae5a3b5f3339f306e56a6cf0d228a3e4 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
@@ -12,47 +12,49 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/gcp_aaa.ma".
-include "basic_2/computation/cpxs_aaa.ma".
-include "basic_2/computation/csx_theq_vector.ma".
+include "static_2/static/gcp_aaa.ma".
+include "basic_2/rt_computation/cpxs_aaa.ma".
+include "basic_2/rt_computation/csx_gcp.ma".
+include "basic_2/rt_computation/csx_gcr.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
+(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
 
-(* Main properties on atomic arity assignment *******************************)
+(* Main properties with atomic arity assignment *****************************)
 
-theorem aaa_csx: â\88\80h,o,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¬\8a*[h, o] T.
+theorem aaa_csx: â\88\80h,o,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, o] ð\9d\90\92â¦\83Tâ¦\84.
 #h #o #G #L #T #A #H
 @(gcr_aaa … (csx_gcp h o) (csx_gcr h o) … H)
 qed.
 
 (* Advanced eliminators *****************************************************)
 
-fact aaa_ind_csx_aux: ∀h,o,G,L,A. ∀R:predicate term.
+fact aaa_ind_csx_aux: ∀h,o,G,L,A. ∀Q:predicate term.
                       (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                            (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â\9e¡[h, o] T2 â\86\92 (T1 = T2 â\86\92 â\8a¥) â\86\92 R T2) â\86\92 R T1
+                            (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[h] T2 â\86\92 (T1 â\89\9b[h, o] T2 â\86\92 â\8a¥) â\86\92 Q T2) â\86\92 Q T1
                       ) →
-                      â\88\80T. â¦\83G, Lâ¦\84 â\8a¢ â¬\8a*[h, o] T â\86\92 â¦\83G, Lâ¦\84 â\8a¢ T â\81\9d A â\86\92 R T.
-#h #o #G #L #A #R #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
+                      â\88\80T. â¦\83G, Lâ¦\84 â\8a¢ â¬\88*[h, o] ð\9d\90\92â¦\83Tâ¦\84 â\86\92 â¦\83G, Lâ¦\84 â\8a¢ T â\81\9d A â\86\92  Q T.
+#h #o #G #L #A #Q #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
 qed-.
 
-lemma aaa_ind_csx: ∀h,o,G,L,A. ∀R:predicate term.
+lemma aaa_ind_csx: ∀h,o,G,L,A. ∀Q:predicate term.
                    (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                         (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â\9e¡[h, o] T2 â\86\92 (T1 = T2 â\86\92 â\8a¥) â\86\92 R T2) â\86\92 R T1
+                         (â\88\80T2. â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[h] T2 â\86\92 (T1 â\89\9b[h, o] T2 â\86\92 â\8a¥) â\86\92 Q T2) â\86\92 Q T1
                    ) →
-                   ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
+                   ∀T. ⦃G, L⦄ ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_aux, aaa_csx/ qed-.
 
-fact aaa_ind_csx_alt_aux: ∀h,o,G,L,A. ∀R:predicate term.
-                          (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                                (∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, o] T2 → (T1 = T2 → ⊥) → R T2) → R T1
-                          ) →
-                          ∀T. ⦃G, L⦄ ⊢ ⬊*[h, o] T → ⦃G, L⦄ ⊢ T ⁝ A → R T.
-#h #o #G #L #A #R #IH #T #H @(csx_ind_alt … H) -T /4 width=5 by cpxs_aaa_conf/
+fact aaa_ind_csx_cpxs_aux: ∀h,o,G,L,A. ∀Q:predicate term.
+                           (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛[h, o] T2 → ⊥) → Q T2) → Q T1
+                           ) →
+                           ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A →  Q T.
+#h #o #G #L #A #Q #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
 qed-.
 
-lemma aaa_ind_csx_alt: ∀h,o,G,L,A. ∀R:predicate term.
-                       (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                             (∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, o] T2 → (T1 = T2 → ⊥) → R T2) → R T1
-                       ) →
-                       ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
-/5 width=9 by aaa_ind_csx_alt_aux, aaa_csx/ qed-.
+(* Basic_2A1: was: aaa_ind_csx_alt *)
+lemma aaa_ind_csx_cpxs: ∀h,o,G,L,A. ∀Q:predicate term.
+                        (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                              (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛[h, o] T2 → ⊥) → Q T2) → Q T1
+                        ) →
+                        ∀T. ⦃G, L⦄ ⊢ T ⁝ A → Q T.
+/5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.