]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/RELATIONAL/NLE/inv.ma
removing old contribs
[helm.git] / helm / software / matita / contribs / RELATIONAL / NLE / inv.ma
diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/inv.ma b/helm/software/matita/contribs/RELATIONAL/NLE/inv.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 "NLE/defs.ma".
-
-theorem nle_inv_succ_1: ∀x,y. x < y → 
-                        ∃z. y = succ z ∧ x ≤ z.
- intros; inversion H; clear H; intros; destruct. autobatch.
-qed.
-
-theorem nle_inv_succ_succ: ∀x,y. x < succ y → x ≤ y.
- intros; inversion H; clear H; intros; destruct. autobatch.
-qed.
-
-theorem nle_inv_succ_zero: ∀x. x < zero → False.
- intros. inversion H; clear H; intros; destruct.
-qed.
-
-theorem nle_inv_zero_2: ∀x. x ≤ zero → x = zero.
- intros; inversion H; clear H; intros; destruct. autobatch.
-qed.
-
-theorem nle_inv_succ_2: ∀y,x. x ≤ succ y →
-                        x = zero ∨ ∃z. x = succ z ∧ z ≤ y.
- intros; inversion H; clear H; intros; destruct;
- autobatch depth = 4.
-qed.