X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Fprops.ma;h=ba563b7af941c80e46916fe3b532b0b0652c2283;hb=d9824956d9132109ed5f23380a0a1f9c5181d18a;hp=3654b7d898bcb0c29f0136f50cd8f40245225db2;hpb=ee31ecd9be54fb4a3d815f11d77e88c3c49ff363;p=helm.git diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/props.ma b/helm/software/matita/contribs/RELATIONAL/NLE/props.ma index 3654b7d89..ba563b7af 100644 --- a/helm/software/matita/contribs/RELATIONAL/NLE/props.ma +++ b/helm/software/matita/contribs/RELATIONAL/NLE/props.ma @@ -12,20 +12,20 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/RELATIONAL/NLE/props". + include "NLE/order.ma". -theorem nle_trans_succ: \forall x,y. x <= y \to x <= succ y. - intros. elim H; clear H x y; autobatch. +theorem nle_trans_succ: ∀x,y. x ≤ y → x ≤ succ y. + intros; elim H; clear H x y; autobatch. qed. -theorem nle_gt_or_le: \forall x, y. y > x \lor y <= x. +theorem nle_gt_or_le: ∀x, y. y > x ∨ y ≤ x. intros 2; elim y; clear y; [ autobatch | decompose; [ lapply linear nle_inv_succ_1 to H1 | lapply linear nle_lt_or_eq to H1 - ]; decompose; subst; autobatch depth = 4 + ]; decompose; destruct; autobatch depth = 4 ]. qed.