X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fsyntax%2Ftheq_simple_vector.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fsyntax%2Ftheq_simple_vector.ma;h=f7212ee11a67e321be45714e02ba5d3034e5523e;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hp=0000000000000000000000000000000000000000;hpb=222044da28742b24584549ba86b1805a87def070;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple_vector.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple_vector.ma
new file mode 100644
index 000000000..f7212ee11
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple_vector.ma
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "static_2/syntax/term_vector.ma".
+include "static_2/syntax/theq_simple.ma".
+
+(* HEAD EQUIVALENCE FOR TERMS ***********************************************)
+
+(* Advanced inversion lemmas with simple (neutral) terms ********************)
+
+(* Basic_1: was only: iso_flats_lref_bind_false iso_flats_flat_bind_false *)
+(* Basic_2A1: was: tsts_inv_bind_applv_simple *)
+lemma theq_inv_applv_bind_simple: ∀h,o,p,I,Vs,V2,T1,T2. ⒶVs.T1 ⩳[h, o] ⓑ{p,I}V2.T2 →
+                                  𝐒⦃T1⦄ → ⊥.
+#h #o #p #I #Vs #V2 #T1 #T2 #H elim (theq_inv_pair2 … H) -H
+#V0 #T0 elim Vs -Vs normalize
+[ #H destruct #H /2 width=5 by simple_inv_bind/
+| #V #Vs #_ #H destruct
+]
+qed-.