From 3fbfcfd052fd7e007d50c8ee19e44525f80577ac Mon Sep 17 00:00:00 2001 From: emakarov Date: Tue, 24 Jul 2007 09:36:03 +0000 Subject: An update on axiomatization of numbers. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@10041 85f007b7-540e-0410-9357-904b9bb8a0f7 --- theories/Numbers/Natural/Axioms/NTimesOrder.v | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'theories/Numbers/Natural/Axioms/NTimesOrder.v') diff --git a/theories/Numbers/Natural/Axioms/NTimesOrder.v b/theories/Numbers/Natural/Axioms/NTimesOrder.v index f6afd5999..89ddcc7d4 100644 --- a/theories/Numbers/Natural/Axioms/NTimesOrder.v +++ b/theories/Numbers/Natural/Axioms/NTimesOrder.v @@ -55,7 +55,7 @@ intros n m p q; induct n. intros; rewrite times_0_n; apply mult_positive; [assumption | apply lt_positive with (n := p); assumption]. intros x IH H1 H2. -apply lt_transitive with (m := ((S x) * q)). +apply lt_trans with (m := ((S x) * q)). now apply mult_S_lt_compat_l; assumption. now apply mult_lt_compat_r; [| apply lt_positive with (n := p)]. Qed. -- cgit v1.2.3