X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FRELATIONAL%2FNLE%2Forder.ma;h=cc3cc3030a44cdf3b4065ada67e42480791ce13f;hb=cf5540f056d6d4fa1612e08d41253d1d009f5d44;hp=c50e7befd15b761cb0ee55035fecb7f95a2daf38;hpb=72a05c70f5ab9dabb704f1dc334920b10a8f4bb9;p=helm.git diff --git a/matita/contribs/RELATIONAL/NLE/order.ma b/matita/contribs/RELATIONAL/NLE/order.ma index c50e7befd..cc3cc3030 100644 --- a/matita/contribs/RELATIONAL/NLE/order.ma +++ b/matita/contribs/RELATIONAL/NLE/order.ma @@ -24,7 +24,7 @@ theorem nle_trans: \forall x,y. x <= y \to \forall z. y <= z \to x <= z. intros 3. elim H; clear H x y; [ autobatch - | lapply linear nle_inv_succ_1 to H3. decompose. subst. + | lapply linear nle_inv_succ_1 to H3. decompose. destruct. autobatch ]. qed. @@ -38,7 +38,7 @@ theorem nle_irrefl: \forall x. x < x \to False. qed. theorem nle_irrefl_ei: \forall x, z. z <= x \to z = succ x \to False. - intros 3. elim H; clear H x z; subst. autobatch. + intros 3. elim H; clear H x z; destruct. autobatch. qed. theorem nle_irrefl_smart: \forall x. x < x \to False.