diff options
author | Stephane Glondu <steph@glondu.net> | 2012-01-12 16:02:20 +0100 |
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committer | Stephane Glondu <steph@glondu.net> | 2012-01-12 16:02:20 +0100 |
commit | 97fefe1fcca363a1317e066e7f4b99b9c1e9987b (patch) | |
tree | 97ec6b7d831cc5fb66328b0c63a11db1cbb2f158 /theories/NArith/NArith.v | |
parent | 300293c119981054c95182a90c829058530a6b6f (diff) |
Imported Upstream version 8.4~betaupstream/8.4_beta
Diffstat (limited to 'theories/NArith/NArith.v')
-rw-r--r-- | theories/NArith/NArith.v | 23 |
1 files changed, 19 insertions, 4 deletions
diff --git a/theories/NArith/NArith.v b/theories/NArith/NArith.v index 48f78c50..4a5f4ee1 100644 --- a/theories/NArith/NArith.v +++ b/theories/NArith/NArith.v @@ -1,18 +1,33 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(* $Id: NArith.v 14641 2011-11-06 11:59:10Z herbelin $ *) - (** Library for binary natural numbers *) +Require Export BinNums. Require Export BinPos. Require Export BinNat. Require Export Nnat. +Require Export Ndiv_def. +Require Export Nsqrt_def. +Require Export Ngcd_def. Require Export Ndigits. - Require Export NArithRing. + +(** [N] contains an [order] tactic for natural numbers *) + +(** Note that [N.order] is domain-agnostic: it will not prove + [1<=2] or [x<=x+x], but rather things like [x<=y -> y<=x -> x=y]. *) + +Local Open Scope N_scope. + +Section TestOrder. + Let test : forall x y, x<=y -> y<=x -> x=y. + Proof. + N.order. + Qed. +End TestOrder. |