renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / aaa_lfdeq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lfdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lfdeq.ma
deleted file mode 100644 (file)
index a018781..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lfdeq.ma
+++ /dev/null
@@ -1,45 +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 "basic_2/static/lfdeq.ma".
-include "basic_2/static/aaa.ma".
-
-(* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
-
-(* Properties with degree-based equivalence on referred entries *************)
-
-lemma aaa_tdeq_conf_lfdeq: ∀h,o,G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ∀T2. T1 ≛[h, o] T2 →
-                           ∀L2. L1 ≛[h, o, T1] L2 → ⦃G, L2⦄ ⊢ T2 ⁝ A.
-#h #o #G #L1 #T1 #A #H elim H -G -L1 -T1 -A
-[ #G #L1 #s1 #X #H1 elim (tdeq_inv_sort1 … H1) -H1 //
-| #I #G #L1 #V1 #B #_ #IH #X #H1 >(tdeq_inv_lref1 … H1) -H1
-  #Y #H2 elim (lfdeq_inv_zero_pair_sn … H2) -H2
-  #L2 #V2 #HL12 #HV12 #H destruct /3 width=1 by aaa_zero/
-| #I #G #L1 #A #i #_ #IH #X #H1 >(tdeq_inv_lref1 … H1) -H1
-  #Y #H2 elim (lfdeq_inv_lref_bind_sn … H2) -H2
-  #J #L2 #HL12 #H destruct /3 width=1 by aaa_lref/
-| #p #G #L1 #V1 #T1 #B #A #_ #_ #IHV #IHT #X #H1 elim (tdeq_inv_pair1 … H1) -H1
-  #V2 #T2 #HV12 #HT12 #H #L2 #H2 elim (lfdeq_inv_bind … H2) -H2 destruct
-  /5 width=2 by aaa_abbr, lfdeq_bind_repl_dx, ext2_pair/
-| #p #G #L1 #V1 #T1 #B #A #_ #_ #IHV #IHT #X #H1 elim (tdeq_inv_pair1 … H1) -H1
-  #V2 #T2 #HV12 #HT12 #H #L2 #H2 elim (lfdeq_inv_bind … H2) -H2 destruct
-  /5 width=2 by aaa_abst, lfdeq_bind_repl_dx, ext2_pair/
-| #G #L1 #V1 #T1 #B #A #_ #_ #IHV #IHT #X #H1 elim (tdeq_inv_pair1 … H1) -H1
-  #V2 #T2 #HV12 #HT12 #H #L2 #H2 elim (lfdeq_inv_flat … H2) -H2 destruct
-  /3 width=3 by aaa_appl/
-| #G #L1 #V1 #T1 #A #_ #_ #IHV #IHT #X #H1 elim (tdeq_inv_pair1 … H1) -H1
-  #V2 #T2 #HV12 #HT12 #H #L2 #H2 elim (lfdeq_inv_flat … H2) -H2 destruct
-  /3 width=1 by aaa_cast/
-]
-qed-.