X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Forder.ma;h=6918bbc0f95ad6610a93b4e8896382c9712b385d;hb=f261b8315d0b14781ae78740feb476327083d664;hp=c50e7befd15b761cb0ee55035fecb7f95a2daf38;hpb=ee31ecd9be54fb4a3d815f11d77e88c3c49ff363;p=helm.git diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/order.ma b/helm/software/matita/contribs/RELATIONAL/NLE/order.ma index c50e7befd..6918bbc0f 100644 --- a/helm/software/matita/contribs/RELATIONAL/NLE/order.ma +++ b/helm/software/matita/contribs/RELATIONAL/NLE/order.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/RELATIONAL/NLE/order". + include "NLE/inv.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.