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authorGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-03-20 01:22:58 +0000
committerGravatar letouzey <letouzey@85f007b7-540e-0410-9357-904b9bb8a0f7>2009-03-20 01:22:58 +0000
commit7d220f8b61649646692983872626d6a8042446a9 (patch)
treefefceb2c59cf155c55fffa25ad08bec629de523e /plugins/field/LegacyField_Compl.v
parentad1fea78e3c23c903b2256d614756012d5f05d87 (diff)
Directory 'contrib' renamed into 'plugins', to end confusion with archive of user contribs
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@11996 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'plugins/field/LegacyField_Compl.v')
-rw-r--r--plugins/field/LegacyField_Compl.v38
1 files changed, 38 insertions, 0 deletions
diff --git a/plugins/field/LegacyField_Compl.v b/plugins/field/LegacyField_Compl.v
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+(************************************************************************)
+(* v * The Coq Proof Assistant / The Coq Development Team *)
+(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
+(* \VV/ **************************************************************)
+(* // * This file is distributed under the terms of the *)
+(* * GNU Lesser General Public License Version 2.1 *)
+(************************************************************************)
+
+(* $Id$ *)
+
+Require Import List.
+
+Definition assoc_2nd :=
+ (fix assoc_2nd_rec (A:Type) (B:Set)
+ (eq_dec:forall e1 e2:B, {e1 = e2} + {e1 <> e2})
+ (lst:list (prod A B)) {struct lst} :
+ B -> A -> A :=
+ fun (key:B) (default:A) =>
+ match lst with
+ | nil => default
+ | (v,e) :: l =>
+ match eq_dec e key with
+ | left _ => v
+ | right _ => assoc_2nd_rec A B eq_dec l key default
+ end
+ end).
+
+Definition mem :=
+ (fix mem (A:Set) (eq_dec:forall e1 e2:A, {e1 = e2} + {e1 <> e2})
+ (a:A) (l:list A) {struct l} : bool :=
+ match l with
+ | nil => false
+ | a1 :: l1 =>
+ match eq_dec a a1 with
+ | left _ => true
+ | right _ => mem A eq_dec a l1
+ end
+ end).