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=1eb0455fe94ca8d5da93f32be17d397275e71cc7;hpb=5c1b44dfefa085fbb56e23047652d3650be9d855;p=helm.git diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/props.ma b/helm/software/matita/contribs/RELATIONAL/NLE/props.ma index 1eb0455fe..ba563b7af 100644 --- a/helm/software/matita/contribs/RELATIONAL/NLE/props.ma +++ b/helm/software/matita/contribs/RELATIONAL/NLE/props.ma @@ -16,11 +16,11 @@ 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;