- former llpx_sn an lleq reactivated as lfxs and lfeq

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_new / lleq / lleq_lleq.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_new/lleq/lleq_lleq.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_new/lleq/lleq_lleq.etc
deleted file mode 100644 (file)
index 630b41a..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_new/lleq/lleq_lleq.etc
+++ /dev/null
@@ -1,39 +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/multiple/lleq_drop.ma".
-
-(* LAZY EQUIVALENCE FOR LOCAL ENVIRONMENTS **********************************)
-
-(* Main properties **********************************************************)
-
-theorem lleq_trans: ∀l,T. Transitive … (lleq l T).
-/2 width=3 by lleq_llpx_sn_trans/ qed-.
-
-theorem lleq_canc_sn: ∀L,L1,L2,T,l. L ≡[l, T] L1→ L ≡[l, T] L2 → L1 ≡[l, T] L2.
-/3 width=3 by lleq_trans, lleq_sym/ qed-.
-
-theorem lleq_canc_dx: ∀L1,L2,L,T,l. L1 ≡[l, T] L → L2 ≡[l, T] L → L1 ≡[l, T] L2.
-/3 width=3 by lleq_trans, lleq_sym/ qed-.
-
-(* Advanced properies on negated lazy equivalence *****************************)
-
-(* Note: for use in auto, works with /4 width=8/ so lleq_canc_sn is preferred *) 
-lemma lleq_nlleq_trans: ∀l,T,L1,L. L1 ≡[T, l] L →
-                        ∀L2. (L ≡[T, l] L2 → ⊥) → (L1 ≡[T, l] L2 → ⊥).
-/3 width=3 by lleq_canc_sn/ qed-.
-
-lemma nlleq_lleq_div: ∀l,T,L2,L. L2 ≡[T, l] L →
-                      ∀L1. (L1 ≡[T, l] L → ⊥) → (L1 ≡[T, l] L2 → ⊥).
-/3 width=3 by lleq_trans/ qed-.