update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_equivalence / cpcs_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_drops.ma
new file mode 100644 (file)
index 0000000..12b24bb
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_drops.ma
@@ -0,0 +1,40 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "basic_2/rt_equivalence/cpcs_cprs.ma".
+
+(* CONTEXT-SENSITIVE PARALLEL R-EQUIVALENCE FOR TERMS ***********************)
+
+(* Properties with generic slicing for local environments *******************)
+
+(* Basic_1: was: pc3_lift *)
+(* Basic_2A1: was: cpcs_lift *)
+lemma cpcs_lifts_bi (h) (G): d_liftable2_bi … lifts (cpcs h G).
+#h #G #K #T1 #T2 #HT12 #b #f #L #HLK #U1 #HTU1 #U2 #HTU2
+elim (cpcs_inv_cprs … HT12) -HT12 #T #HT1 #HT2
+elim (lifts_total T f) #U #HU
+/3 width=12 by cprs_div, cpms_lifts_bi/
+qed-.
+
+(* Inversion lemmas with generic slicing for local environments *************)
+
+(* Basic_1: was: pc3_gen_lift *)
+(* Basic_2A1: was cpcs_inv_lift *)
+lemma cpcs_inv_lifts_bi (h) (G): d_deliftable2_bi … lifts (cpcs h G).
+#h #G #L #U1 #U2 #HU12 #b #f #K #HLK #T1 #HTU1 #T2 #HTU2
+elim (cpcs_inv_cprs … HU12) -HU12 #U #HU1 #HU2
+elim (cpms_inv_lifts_sn … HU1 … HLK … HTU1) -U1 #T #HTU #HT1
+lapply (cpms_inv_lifts_bi … HU2 … HLK … HTU2 … HTU) -L -U -U2 -b -f #HT2
+/2 width=3 by cprs_div/
+qed-.