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authorGravatar Stephane Glondu <steph@glondu.net>2012-01-12 16:02:20 +0100
committerGravatar Stephane Glondu <steph@glondu.net>2012-01-12 16:02:20 +0100
commit97fefe1fcca363a1317e066e7f4b99b9c1e9987b (patch)
tree97ec6b7d831cc5fb66328b0c63a11db1cbb2f158 /theories/Arith/Factorial.v
parent300293c119981054c95182a90c829058530a6b6f (diff)
Imported Upstream version 8.4~betaupstream/8.4_beta
Diffstat (limited to 'theories/Arith/Factorial.v')
-rw-r--r--theories/Arith/Factorial.v8
1 files changed, 3 insertions, 5 deletions
diff --git a/theories/Arith/Factorial.v b/theories/Arith/Factorial.v
index 3b434b96..146546dc 100644
--- a/theories/Arith/Factorial.v
+++ b/theories/Arith/Factorial.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: Factorial.v 14641 2011-11-06 11:59:10Z herbelin $ i*)
-
Require Import Plus.
Require Import Mult.
Require Import Lt.
@@ -15,13 +13,13 @@ Open Local Scope nat_scope.
(** Factorial *)
-Boxed Fixpoint fact (n:nat) : nat :=
+Fixpoint fact (n:nat) : nat :=
match n with
| O => 1
| S n => S n * fact n
end.
-Arguments Scope fact [nat_scope].
+Arguments fact n%nat.
Lemma lt_O_fact : forall n:nat, 0 < fact n.
Proof.