diff options
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 *) |