ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / lib / exteq.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/lib/exteq.ma b/matita/matita/contribs/lambdadelta/ground_2/lib/exteq.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 "ground_2/notation/relations/doteq_4.ma".
-include "ground_2/lib/relations.ma".
-
-(* EXTENSIONAL EQUIVALENCE **************************************************)
-
-definition exteq (A,B:Type[0]): relation (A → B) ≝
-                                λf1,f2. ∀a. f1 a = f2 a.
-
-interpretation "extensional equivalence"
-   'DotEq A B f1 f2 = (exteq A B f1 f2).
-
-(* Basic_properties *********************************************************)
-
-lemma exteq_refl (A) (B): reflexive … (exteq A B).
-// qed.
-
-lemma exteq_repl (A) (B): replace_2 … (exteq A B) (exteq A B) (exteq A B).
-// qed-.
-
-lemma exteq_sym (A) (B): symmetric … (exteq A B).
-/2 width=1 by exteq_repl/ qed-.
-
-lemma exteq_trans (A) (B): Transitive … (exteq A B).
-/2 width=1 by exteq_repl/ qed-.
-