X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Finv.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Finv.ma;h=0000000000000000000000000000000000000000;hb=da0775e27b362e91ea1453a800bc403781cc2ca3;hp=649a5b8a4cd4b6f6044aaf998a4e8942d4919d60;hpb=d9824956d9132109ed5f23380a0a1f9c5181d18a;p=helm.git diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/inv.ma b/helm/software/matita/contribs/RELATIONAL/NLE/inv.ma deleted file mode 100644 index 649a5b8a4..000000000 --- a/helm/software/matita/contribs/RELATIONAL/NLE/inv.ma +++ /dev/null @@ -1,40 +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/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.