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authorGravatar barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-12-15 19:48:24 +0000
committerGravatar barras <barras@85f007b7-540e-0410-9357-904b9bb8a0f7>2003-12-15 19:48:24 +0000
commit3675bac6c38e0a26516e434be08bc100865b339b (patch)
tree87f8eb1905c7b508dea60b1e216f79120e9e772d /theories/Sets/Powerset_Classical_facts.v
parentc881bc37b91a201f7555ee021ccb74adb360d131 (diff)
modif existentielle (exists | --> exists ,) + bug d'affichage des pt fixes
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@5099 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Sets/Powerset_Classical_facts.v')
-rwxr-xr-xtheories/Sets/Powerset_Classical_facts.v6
1 files changed, 3 insertions, 3 deletions
diff --git a/theories/Sets/Powerset_Classical_facts.v b/theories/Sets/Powerset_Classical_facts.v
index 988bbd25a..71ec5b078 100755
--- a/theories/Sets/Powerset_Classical_facts.v
+++ b/theories/Sets/Powerset_Classical_facts.v
@@ -177,7 +177,7 @@ Qed.
Lemma Included_Add :
forall (X A:Ensemble U) (x:U),
Included U X (Add U A x) ->
- Included U X A \/ ( exists A' : _ | X = Add U A' x /\ Included U A' A).
+ Included U X A \/ (exists A' : _, X = Add U A' x /\ Included U A' A).
Proof.
intros X A x H'0; try assumption.
elim (classic (In U X x)).
@@ -267,7 +267,7 @@ Theorem covers_Add :
Included U a A ->
Included U a' A ->
covers (Ensemble U) (Power_set_PO U A) a' a ->
- exists x : _ | a' = Add U a x /\ In U A x /\ ~ In U a x.
+ exists x : _, a' = Add U a x /\ In U A x /\ ~ In U a x.
Proof.
intros A a a' H' H'0 H'1; try assumption.
elim (setcover_inv A a a'); auto with sets.
@@ -299,7 +299,7 @@ Theorem covers_is_Add :
Included U a A ->
Included U a' A ->
(covers (Ensemble U) (Power_set_PO U A) a' a <->
- ( exists x : _ | a' = Add U a x /\ In U A x /\ ~ In U a x)).
+ (exists x : _, a' = Add U a x /\ In U A x /\ ~ In U a x)).
Proof.
intros A a a' H' H'0; split; intro K.
apply covers_Add with (A := A); auto with sets.