(************************************************************************)
(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
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(**** Tactics Tauto and Intuition ****)
(**** Tauto: Tactic for automating proof in Intuionnistic Propositional Calculus, based on the contraction-free LJT* of Dickhoff ****)
(**** Intuition: Simplifications of goals, based on LJT* calcul ****)
(**** Examples of intuitionistic tautologies ****)
Parameter A B C D E F : Prop.
Parameter even : nat -> Prop.
Parameter P : nat -> Prop.

(* A bug found by Freek Wiedijk <freek@cs.kun.nl> *)
Lemma new_bug :
((A <-> B) -> (B <-> C)) ->
((B <-> C) -> (C <-> A)) -> ((C <-> A) -> (A <-> B)) -> (A <-> B).