removing old contribs

[helm.git] / helm / software / matita / contribs / RELATIONAL / NLE / order.ma

diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/order.ma b/helm/software/matita/contribs/RELATIONAL/NLE/order.ma
deleted file mode 100644 (file)
index 473ac60..0000000
--- a/helm/software/matita/contribs/RELATIONAL/NLE/order.ma
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@@ -1,52 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/inv.ma".
-
-theorem nle_refl: ∀x. x ≤ x.
- intros; elim x; clear x; autobatch.
-qed.
-
-theorem nle_trans: ∀x,y. x ≤ y → ∀z. y ≤ z → x ≤ z.
- intros 3; elim H; clear H x y;
- [ autobatch
- | lapply linear nle_inv_succ_1 to H3. decompose. destruct. 
-   autobatch
- ].
-qed.
-
-theorem nle_false: ∀x,y. x ≤ y → y < x → False.
- intros 3; elim H; clear H x y; autobatch.
-qed.
-
-theorem nle_irrefl: ∀x. x < x → False.
- intros. autobatch.
-qed.
-
-theorem nle_irrefl_ei: ∀x, z. z ≤ x → z = succ x → False.
- intros 3; elim H; clear H x z; destruct; autobatch.
-qed.
-
-theorem nle_irrefl_smart: ∀x. x < x → False.
- intros 1. elim x; clear x; autobatch.
-qed.
-
-theorem nle_lt_or_eq: ∀y, x. x ≤ y → x < y ∨ x = y.
- intros; elim H; clear H x y;
- [ elim n; clear n
- | decompose
- ]; autobatch.
-qed.