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/Arith/Lt.v | |
parent | 300293c119981054c95182a90c829058530a6b6f (diff) |
Imported Upstream version 8.4~betaupstream/8.4_beta
Diffstat (limited to 'theories/Arith/Lt.v')
-rw-r--r-- | theories/Arith/Lt.v | 11 |
1 files changed, 5 insertions, 6 deletions
diff --git a/theories/Arith/Lt.v b/theories/Arith/Lt.v index 004274fe..e07bba8d 100644 --- a/theories/Arith/Lt.v +++ b/theories/Arith/Lt.v @@ -1,13 +1,11 @@ (************************************************************************) (* 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 *) (************************************************************************) -(*i $Id: Lt.v 14641 2011-11-06 11:59:10Z herbelin $ i*) - (** Theorems about [lt] in nat. [lt] is defined in library [Init/Peano.v] as: << Definition lt (n m:nat) := S n <= m. @@ -96,9 +94,9 @@ Proof. Qed. Hint Resolve lt_0_Sn: arith v62. -Theorem lt_n_O : forall n, ~ n < 0. -Proof le_Sn_O. -Hint Resolve lt_n_O: arith v62. +Theorem lt_n_0 : forall n, ~ n < 0. +Proof le_Sn_0. +Hint Resolve lt_n_0: arith v62. (** * Predecessor *) @@ -192,4 +190,5 @@ Hint Immediate lt_0_neq: arith v62. Notation lt_O_Sn := lt_0_Sn (only parsing). Notation neq_O_lt := neq_0_lt (only parsing). Notation lt_O_neq := lt_0_neq (only parsing). +Notation lt_n_O := lt_n_0 (only parsing). (* end hide *) |