update in ground_2 static_2 basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cwhx_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_drops.ma
new file mode 100644 (file)
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_drops.ma
@@ -0,0 +1,46 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/relocation/drops.ma".
+include "basic_2/rt_transition/cwhx.ma".
+
+(* WHD NORMAL TERMS FOR UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ****)
+
+(* Properties with generic slicing ******************************************)
+
+lemma cwhx_lifts (h) (G): d_liftable1 … (cwhx h G).
+#h #G #K #T #H elim H -K -T
+[ #K #s #b #f #L #HLK #X #H
+  lapply (lifts_inv_sort1 … H) -H #H destruct //
+| #p #K #V #T #b #f #L #HLK #X #H
+  elim (lifts_inv_bind1 … H) -H #W #U #HVW #HTU #H destruct //
+| #K #V #T #_ #IH #b #f #L #HLK #X #H
+  elim (lifts_inv_bind1 … H) -H #W #U #HVW #HTU #H destruct
+  /5 width=4 by cwhx_ldef, drops_skip, ext2_pair/
+]
+qed-.
+
+(* Inversion lemmas with generic slicing ************************************)
+
+lemma cwhx_inv_lifts (h) (G): d_deliftable1 … (cwhx h G).
+#h #G #L #U #H elim H -L -U
+[ #L #s #b #f #K #HLK #X #H
+  lapply (lifts_inv_sort2 … H) -H #H destruct //
+| #p #L #W #U #b #f #K #HLK #X #H
+  elim (lifts_inv_bind2 … H) -H #V #T #HVW #HTU #H destruct //
+| #L #W #U #_ #IH #b #f #K #HLK #X #H
+  elim (lifts_inv_bind2 … H) -H #V #T #HVW #HTU #H destruct
+  /5 width=4 by cwhx_ldef, drops_skip, ext2_pair/
+]
+qed-.