X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Fcsx_aaa.ma;h=f1b70f0c73ad6a8f87b07cb81fbd45ace604cb31;hb=b5d702735754632652b2659c425dd67d7f92f24b;hp=d951e4154b1c41c0f2ab2e0bd8c61961e5a550b5;hpb=c28e3d93b588796bfbbfd6b2ec9dd86f405b2b00;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_aaa.ma
index d951e4154..f1b70f0c7 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_aaa.ma
@@ -13,13 +13,46 @@
 (**************************************************************************)
 
 include "basic_2/computation/acp_aaa.ma".
+include "basic_2/computation/cpxs_aaa.ma".
 include "basic_2/computation/csx_tstc_vector.ma".
 
 (* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
 
-(* Main properties concerning atomic arity assignment ***********************)
+(* Main properties on atomic arity assignment *******************************)
 
 theorem aaa_csx: ∀h,g,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ⦃G, L⦄ ⊢ ⬊*[h, g] T.
 #h #g #G #L #T #A #H
 @(acp_aaa … (csx_acp h g) (csx_acr h g) … H)
 qed.
+
+(* Advanced eliminators *****************************************************)
+
+fact aaa_ind_csx_aux: ∀h,g,G,L,A. ∀R:predicate term.
+                      (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                            (∀T2. ⦃G, L⦄ ⊢ T1 ➡[h, g] T2 → (T1 = T2 → ⊥) → R T2) → R T1
+                      ) →
+                      ∀T. ⦃G, L⦄ ⊢ ⬊*[h, g] T → ⦃G, L⦄ ⊢ T ⁝ A → R T.
+#h #g #G #L #A #R #IH #T #H @(csx_ind … H) -T /4 width=5 by aaa_cpx_conf/
+qed-.
+
+lemma aaa_ind_csx: ∀h,g,G,L,A. ∀R:predicate term.
+                   (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                         (∀T2. ⦃G, L⦄ ⊢ T1 ➡[h, g] T2 → (T1 = 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,g,G,L,A. ∀R:predicate term.
+                          (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                                (∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 → (T1 = T2 → ⊥) → R T2) → R T1
+                          ) →
+                          ∀T. ⦃G, L⦄ ⊢ ⬊*[h, g] T → ⦃G, L⦄ ⊢ T ⁝ A → R T.
+#h #g #G #L #A #R #IH #T #H @(csx_ind_alt … H) -T /4 width=5 by aaa_cpxs_conf/
+qed-.
+
+lemma aaa_ind_csx_alt: ∀h,g,G,L,A. ∀R:predicate term.
+                       (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                             (∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] 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-.