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[helm.git] / matita / contribs / LAMBDA-TYPES / Base-1 / ext / tactics.ma

diff --git a/matita/contribs/LAMBDA-TYPES/Base-1/ext/tactics.ma b/matita/contribs/LAMBDA-TYPES/Base-1/ext/tactics.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+include "Base-1/preamble.ma".
+
+theorem insert_eq:
+ \forall (S: Set).(\forall (x: S).(\forall (P: ((S \to Prop))).(\forall (G: 
+((S \to Prop))).(((\forall (y: S).((P y) \to ((eq S y x) \to (G y))))) \to 
+((P x) \to (G x))))))
+\def
+ \lambda (S: Set).(\lambda (x: S).(\lambda (P: ((S \to Prop))).(\lambda (G: 
+((S \to Prop))).(\lambda (H: ((\forall (y: S).((P y) \to ((eq S y x) \to (G 
+y)))))).(\lambda (H0: (P x)).(H x H0 (refl_equal S x))))))).
+
+theorem unintro:
+ \forall (A: Set).(\forall (a: A).(\forall (P: ((A \to Prop))).(((\forall (x: 
+A).(P x))) \to (P a))))
+\def
+ \lambda (A: Set).(\lambda (a: A).(\lambda (P: ((A \to Prop))).(\lambda (H: 
+((\forall (x: A).(P x)))).(H a)))).
+
+theorem xinduction:
+ \forall (A: Set).(\forall (t: A).(\forall (P: ((A \to Prop))).(((\forall (x: 
+A).((eq A t x) \to (P x)))) \to (P t))))
+\def
+ \lambda (A: Set).(\lambda (t: A).(\lambda (P: ((A \to Prop))).(\lambda (H: 
+((\forall (x: A).((eq A t x) \to (P x))))).(H t (refl_equal A t))))).
+