update in ground_2 static_2 basic_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / lifts_tueq.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tueq.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tueq.ma
deleted file mode 100644 (file)
index a9805a9..0000000
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_tueq.ma
+++ /dev/null
@@ -1,80 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/tueq.ma".
-include "static_2/relocation/lifts_lifts.ma".
-
-(* GENERIC RELOCATION FOR TERMS *********************************************)
-
-(* Properties with tail sort-irrelevant equivalence for terms ***************)
-
-lemma tueq_lifts_sn: liftable2_sn tueq.
-#T1 #T2 #H elim H -T1 -T2
-[ #s1 #s2 #f #X #H >(lifts_inv_sort1 … H) -H
-  /3 width=3 by lifts_sort, tueq_sort, ex2_intro/
-| #i #f #X #H elim (lifts_inv_lref1 … H) -H
-  /3 width=3 by lifts_lref, tueq_lref, ex2_intro/
-| #l #f #X #H >(lifts_inv_gref1 … H) -H
-  /2 width=3 by lifts_gref, tueq_gref, ex2_intro/
-| #p #I #V #T1 #T2 #_ #IHT #f #X #H elim (lifts_inv_bind1 … H) -H
-  #W1 #U1 #HVW1 #HTU1 #H destruct
-  elim (IHT … HTU1) -T1
-  /3 width=3 by lifts_bind, tueq_bind, ex2_intro/
-| #V #T1 #T2 #_ #IHT #f #X #H elim (lifts_inv_flat1 … H) -H
-  #W1 #U1 #HVW1 #HTU1 #H destruct
-  elim (IHT … HTU1) -T1
-  /3 width=3 by lifts_flat, tueq_appl, ex2_intro/
-| #V1 #V2 #T1 #T2 #_ #_ #IHV #IHT #f #X #H elim (lifts_inv_flat1 … H) -H
-  #W1 #U1 #HVW1 #HTU1 #H destruct
-  elim (IHV … HVW1) -V1 elim (IHT … HTU1) -T1
-  /3 width=5 by lifts_flat, tueq_cast, ex2_intro/  
-]
-qed-.
-
-lemma tueq_lifts_dx: liftable2_dx tueq.
-/3 width=3 by tueq_lifts_sn, liftable2_sn_dx, tueq_sym/ qed-.
-
-lemma tueq_lifts_bi: liftable2_bi tueq.
-/3 width=6 by tueq_lifts_sn, liftable2_sn_bi/ qed-.
-
-(* Inversion lemmas with tail sort-irrelevant equivalence for terms *********)
-
-lemma tueq_inv_lifts_sn: deliftable2_sn tueq.
-#U1 #U2 #H elim H -U1 -U2
-[ #s1 #s2 #f #X #H >(lifts_inv_sort2 … H) -H
-  /3 width=3 by lifts_sort, tueq_sort, ex2_intro/
-| #i #f #X #H elim (lifts_inv_lref2 … H) -H
-  /3 width=3 by lifts_lref, tueq_lref, ex2_intro/
-| #l #f #X #H >(lifts_inv_gref2 … H) -H
-  /2 width=3 by lifts_gref, tueq_gref, ex2_intro/
-| #p #I #W #U1 #U2 #_ #IHU #f #X #H elim (lifts_inv_bind2 … H) -H
-  #V1 #T1 #HVW1 #HTU1 #H destruct
-  elim (IHU … HTU1) -U1
-  /3 width=3 by lifts_bind, tueq_bind, ex2_intro/
-| #W #U1 #U2 #_ #IHU #f #X #H elim (lifts_inv_flat2 … H) -H
-  #V1 #T1 #HVW1 #HTU1 #H destruct
-  elim (IHU … HTU1) -U1
-  /3 width=3 by lifts_flat, tueq_appl, ex2_intro/
-| #W1 #W2 #U1 #U2 #_ #_ #IHW #IHU #f #X #H elim (lifts_inv_flat2 … H) -H
-  #V1 #T1 #HVW1 #HTU1 #H destruct
-  elim (IHW … HVW1) -W1 elim (IHU … HTU1) -U1
-  /3 width=5 by lifts_flat, tueq_cast, ex2_intro/
-]
-qed-.
-
-lemma tueq_inv_lifts_dx: deliftable2_dx tueq.
-/3 width=3 by tueq_inv_lifts_sn, deliftable2_sn_dx, tueq_sym/ qed-.
-
-lemma tueq_inv_lifts_bi: deliftable2_bi tueq.
-/3 width=6 by tueq_inv_lifts_sn, deliftable2_sn_bi/ qed-.