milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / lpc / lfpcs_lfpcs.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpcs_lfpcs.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpcs_lfpcs.etc
deleted file mode 100644 (file)
index 1e95217..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lpc/lfpcs_lfpcs.etc
+++ /dev/null
@@ -1,50 +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/computation/lfprs_lfprs.ma".
-include "basic_2/conversion/lfpc_lfpc.ma".
-include "basic_2/equivalence/lfpcs_lfprs.ma".
-
-(* FOCALIZED PARALLEL EQUIVALENCE ON LOCAL ENVIRONMENTS *********************)
-
-(* Advanced inversion lemmas ************************************************)
-
-lemma lfpcs_inv_lfprs: ∀L1,L2. ⦃L1⦄ ⬌* ⦃L2⦄ →
-                       ∃∃L. ⦃L1⦄ ➡* ⦃L⦄ & ⦃L2⦄ ➡* ⦃L⦄.
-#L1 #L2 #H @(lfpcs_ind … H) -L2
-[ /3 width=3/
-| #L #L2 #_ #HL2 * #L0 #HL10 elim HL2 -HL2 #HL2 #HL0
-  [ elim (lfprs_strip … HL0 … HL2) -L #L #HL0 #HL2
-    lapply (lfprs_strap1 … HL10 … HL0) -L0 /2 width=3/
-  | lapply (lfprs_strap2 … HL2 … HL0) -L /2 width=3/
-  ]
-]
-qed-.
-
-(* Advanced properties ******************************************************)
-
-lemma lfpcs_strip: ∀L,L1. ⦃L⦄ ⬌* ⦃L1⦄ → ∀L2. ⦃L⦄ ⬌ ⦃L2⦄ →
-                   ∃∃L0. ⦃L1⦄ ⬌ ⦃L0⦄ & ⦃L2⦄ ⬌* ⦃L0⦄.
-/3 width=3/ qed.
-
-(* Main properties **********************************************************)
-
-theorem lfpcs_trans: ∀L1,L. ⦃L1⦄ ⬌* ⦃L⦄ → ∀L2. ⦃L⦄ ⬌* ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/2 width=3/ qed.
-
-theorem lfpcs_canc_sn: ∀L,L1,L2. ⦃L⦄ ⬌* ⦃L1⦄ → ⦃L⦄ ⬌* ⦃L2⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/3 width=3 by lfpcs_trans, lfpcs_sym/ qed.
-
-theorem lfpcs_canc_dx: ∀L,L1,L2. ⦃L1⦄ ⬌* ⦃L⦄ → ⦃L2⦄ ⬌* ⦃L⦄ → ⦃L1⦄ ⬌* ⦃L2⦄.
-/3 width=3 by lfpcs_trans, lfpcs_sym/ qed.