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-rw-r--r--theories/Wellfounded/Transitive_Closure.v8
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Wellfounded/Transitive_Closure.v b/theories/Wellfounded/Transitive_Closure.v
index e552598c..c999b58e 100644
--- a/theories/Wellfounded/Transitive_Closure.v
+++ b/theories/Wellfounded/Transitive_Closure.v
@@ -6,7 +6,7 @@
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
-(*i $Id: Transitive_Closure.v 9598 2007-02-06 19:45:52Z herbelin $ i*)
+(*i $Id$ i*)
(** Author: Bruno Barras *)
@@ -18,7 +18,7 @@ Section Wf_Transitive_Closure.
Variable R : relation A.
Notation trans_clos := (clos_trans A R).
-
+
Lemma incl_clos_trans : inclusion A R trans_clos.
red in |- *; auto with sets.
Qed.
@@ -29,7 +29,7 @@ Section Wf_Transitive_Closure.
intros y H2.
induction H2; auto with sets.
apply Acc_inv with y; auto with sets.
- Qed.
+ Defined.
Hint Resolve Acc_clos_trans.
@@ -42,6 +42,6 @@ Section Wf_Transitive_Closure.
Theorem wf_clos_trans : well_founded R -> well_founded trans_clos.
Proof.
unfold well_founded in |- *; auto with sets.
- Qed.
+ Defined.
End Wf_Transitive_Closure.