]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/lfeq_lreq.ma
- updated equivalence on referred entries: it nust be degree-based
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lfeq_lreq.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfeq_lreq.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfeq_lreq.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/frees_lreq.ma".
-include "basic_2/static/lfeq.ma".
-
-(* EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *******************)
-
-(* Inversion lemmas with ranged equivalence for local environments **********)
-
-lemma lfeq_inv_lreq: ∀L1,L2,T. L1 ≡[T] L2 → ∃∃f. L1 ⊢ 𝐅*⦃T⦄ ≡ f & L1 ≡[f] L2.
-#L1 #L2 #T * /2 width=3 by ex2_intro/
-qed-.
-
-(* Properties with ranged equivalence for local environments ****************)
-
-lemma lreq_lfeq: ∀f,L1,L2,T. L1 ⊢ 𝐅*⦃T⦄ ≡ f → L1 ≡[f] L2 → L1 ≡[T] L2.
-/2 width=3 by ex2_intro/ qed.
-
-(* Advanced properties ******************************************************)
-
-lemma lfeq_sym: ∀T. symmetric … (lfeq T).
-#T #L1 #L2 #H elim (lfeq_inv_lreq … H) -H
-/3 width=3 by lreq_lfeq, frees_lreq_conf, lreq_sym/
-qed-.