X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_aaa.ma;h=fb7dad49881660af75a627421747eec0f8d542dc;hb=be2870b722324a1813ac9e72ebcb2cda6c8733d7;hp=89f226a303d250a418bc11f5debfd80d26ce3390;hpb=69592aa1d0c0d122fb09f11cc53bf4c5a1532fdd;p=helm.git

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 89f226a30..fb7dad498 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
@@ -12,15 +12,16 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/gcp_aaa.ma".
-include "basic_2/computation/cpxs_aaa.ma".
-include "basic_2/computation/csx_theq_vector.ma".
+include "basic_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 UNCOUNTED PARALLEL RT-TRANSITION **********)
 
-(* Main properties on atomic arity assignment *******************************)
+(* Main properties with atomic arity assignment *****************************)
 
-theorem aaa_csx: ∀h,o,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ⦃G, L⦄ ⊢ ⬊*[h, o] T.
+theorem aaa_csx: ∀h,o,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
 #h #o #G #L #T #A #H
 @(gcr_aaa … (csx_gcp h o) (csx_gcr h o) … H)
 qed.
@@ -29,30 +30,31 @@ qed.
 
 fact aaa_ind_csx_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
+                            (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
                       ) →
-                      ∀T. ⦃G, L⦄ ⊢ ⬊*[h, o] T → ⦃G, L⦄ ⊢ T ⁝ A → R T.
+                      ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
 #h #o #G #L #A #R #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.
                    (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                         (∀T2. ⦃G, L⦄ ⊢ T1 ➡[h, o] T2 → (T1 = T2 → ⊥) → R T2) → R T1
+                         (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
                    ) →
                    ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R 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. ∀R:predicate term.
+                           (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                           ) →
+                           ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
+#h #o #G #L #A #R #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. ∀R:predicate term.
+                        (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                              (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                        ) →
+                        ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
+/5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.