renaming in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/ffdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/static/ffdeq.ma
deleted file mode 100644 (file)
index ac4a6b1..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/static/ffdeq.ma
+++ /dev/null
@@ -1,52 +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/notation/relations/stareqsn_8.ma".
-include "basic_2/syntax/genv.ma".
-include "basic_2/static/lfdeq.ma".
-
-(* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************)
-
-inductive ffdeq (h) (o) (G) (L1) (T1): relation3 genv lenv term ≝
-| ffdeq_intro_sn: ∀L2,T2. L1 ≛[h, o, T1] L2 → T1 ≛[h, o] T2 →
-                  ffdeq h o G L1 T1 G L2 T2
-.
-
-interpretation
-   "degree-based equivalence on referred entries (closure)"
-   'StarEqSn h o G1 L1 T1 G2 L2 T2 = (ffdeq h o G1 L1 T1 G2 L2 T2).
-
-(* Basic_properties *********************************************************)
-
-lemma ffdeq_intro_dx (h) (o) (G): ∀L1,L2,T2. L1 ≛[h, o, T2] L2 →
-                                  ∀T1. T1 ≛[h, o] T2 → ⦃G, L1, T1⦄ ≛[h, o] ⦃G, L2, T2⦄.
-/3 width=3 by ffdeq_intro_sn, tdeq_lfdeq_div/ qed.
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma ffdeq_inv_gen_sn: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ →
-                        ∧∧ G1 = G2 & L1 ≛[h, o, T1] L2 & T1 ≛[h, o] T2.
-#h #o #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 /2 width=1 by and3_intro/
-qed-.
-
-lemma ffdeq_inv_gen_dx: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ →
-                        ∧∧ G1 = G2 & L1 ≛[h, o, T2] L2 & T1 ≛[h, o] T2.
-#h #o #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
-/3 width=3 by tdeq_lfdeq_conf, and3_intro/
-qed-.
-
-(* Basic_2A1: removed theorems 6:
-              fleq_refl fleq_sym fleq_inv_gen
-              fleq_trans fleq_canc_sn fleq_canc_dx
-*)