X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FRELATIONAL%2FNLE%2Finv.ma;h=013cd67f1d936476f690528b58d934ea24d82e30;hb=cf5540f056d6d4fa1612e08d41253d1d009f5d44;hp=9d46d6cac8db613465d0eaef1006d635c62d36ef;hpb=72a05c70f5ab9dabb704f1dc334920b10a8f4bb9;p=helm.git diff --git a/matita/contribs/RELATIONAL/NLE/inv.ma b/matita/contribs/RELATIONAL/NLE/inv.ma index 9d46d6cac..013cd67f1 100644 --- a/matita/contribs/RELATIONAL/NLE/inv.ma +++ b/matita/contribs/RELATIONAL/NLE/inv.ma @@ -18,23 +18,23 @@ include "NLE/defs.ma". theorem nle_inv_succ_1: \forall x,y. x < y \to \exists z. y = succ z \land x <= z. - intros. inversion H; clear H; intros; subst. autobatch. + intros. inversion H; clear H; intros; destruct. autobatch. qed. theorem nle_inv_succ_succ: \forall x,y. x < succ y \to x <= y. - intros. inversion H; clear H; intros; subst. autobatch. + intros. inversion H; clear H; intros; destruct. autobatch. qed. theorem nle_inv_succ_zero: \forall x. x < zero \to False. - intros. inversion H; clear H; intros; subst. + intros. inversion H; clear H; intros; destruct. qed. theorem nle_inv_zero_2: \forall x. x <= zero \to x = zero. - intros. inversion H; clear H; intros; subst. autobatch. + intros. inversion H; clear H; intros; destruct. autobatch. qed. theorem nle_inv_succ_2: \forall y,x. x <= succ y \to x = zero \lor \exists z. x = succ z \land z <= y. - intros. inversion H; clear H; intros; subst; + intros. inversion H; clear H; intros; destruct; autobatch depth = 4. qed.