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authorGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-11-29 17:28:49 +0000
committerGravatar herbelin <herbelin@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-11-29 17:28:49 +0000
commit9a6e3fe764dc2543dfa94de20fe5eec42d6be705 (patch)
tree77c0021911e3696a8c98e35a51840800db4be2a9 /theories/Logic/ClassicalChoice.v
parent9058fb97426307536f56c3e7447be2f70798e081 (diff)
Remplacement des fichiers .v ancienne syntaxe de theories, contrib et states par les fichiers nouvelle syntaxe
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5027 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Logic/ClassicalChoice.v')
-rw-r--r--theories/Logic/ClassicalChoice.v17
1 files changed, 9 insertions, 8 deletions
diff --git a/theories/Logic/ClassicalChoice.v b/theories/Logic/ClassicalChoice.v
index 31f58a95e..80bbce461 100644
--- a/theories/Logic/ClassicalChoice.v
+++ b/theories/Logic/ClassicalChoice.v
@@ -19,13 +19,14 @@
Require Export ClassicalDescription.
Require Export RelationalChoice.
-Require ChoiceFacts.
+Require Import ChoiceFacts.
-Theorem choice :
- (A:Type;B:Type;R: A->B->Prop)
- ((x:A)(EX y:B|(R x y))) -> (EX f:A->B | (x:A)(R x (f x))).
+Theorem choice :
+ forall (A B:Type) (R:A -> B -> Prop),
+ (forall x:A, exists y : B | R x y) ->
+ exists f : A -> B | (forall x:A, R x (f x)).
Proof.
-Apply description_rel_choice_imp_funct_choice.
-Exact description.
-Exact relational_choice.
-Qed.
+apply description_rel_choice_imp_funct_choice.
+exact description.
+exact relational_choice.
+Qed. \ No newline at end of file