]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/relocation/lreq_lreq.ma
renaming in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / lreq_lreq.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lreq_lreq.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lreq_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/syntax/ceq_ext_ceq_ext.ma".
-include "basic_2/relocation/lexs_lexs.ma".
-
-(* RANGED EQUIVALENCE FOR LOCAL ENVIRONMENTS ********************************)
-
-(* Main properties **********************************************************)
-
-theorem lreq_trans: ∀f. Transitive … (lreq f).
-/3 width=5 by lexs_trans, ceq_ext_trans/ qed-.
-
-theorem lreq_canc_sn: ∀f. left_cancellable … (lreq f).
-/3 width=3 by lexs_canc_sn, lreq_trans, lreq_sym/ qed-.
-
-theorem lreq_canc_dx: ∀f. right_cancellable … (lreq f).
-/3 width=3 by lexs_canc_dx, lreq_trans, lreq_sym/ qed-.
-
-theorem lreq_join: ∀f1,L1,L2. L1 ≡[f1] L2 → ∀f2. L1 ≡[f2] L2 →
-                   ∀f. f1 ⋓ f2 ≘ f → L1 ≡[f] L2.
-/2 width=5 by lexs_join/ qed-.
-
-theorem lreq_meet: ∀f1,L1,L2. L1 ≡[f1] L2 → ∀f2. L1 ≡[f2] L2 →
-                   ∀f. f1 ⋒ f2 ≘ f → L1 ≡[f] L2.
-/2 width=5 by lexs_meet/ qed-.