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-rw-r--r--theories/Relations/Operators_Properties.v25
1 files changed, 13 insertions, 12 deletions
diff --git a/theories/Relations/Operators_Properties.v b/theories/Relations/Operators_Properties.v
index c17f5f64e..b3f30ddf2 100644
--- a/theories/Relations/Operators_Properties.v
+++ b/theories/Relations/Operators_Properties.v
@@ -18,19 +18,20 @@ Require Import Relation_Definitions.
Require Import Relation_Operators.
Require Import Setoid.
-Implicit Arguments clos_refl_trans [A].
-Implicit Arguments clos_refl_trans_1n [A].
-Implicit Arguments clos_refl_trans_n1 [A].
-Implicit Arguments clos_refl_sym_trans [A].
-Implicit Arguments clos_refl_sym_trans_1n [A].
-Implicit Arguments clos_refl_sym_trans_n1 [A].
-Implicit Arguments clos_trans [A].
-Implicit Arguments clos_trans_1n [A].
-Implicit Arguments clos_trans_n1 [A].
-Implicit Arguments inclusion [A].
-
Section Properties.
+ Implicit Arguments clos_refl_trans [A].
+ Implicit Arguments clos_refl_trans_1n [A].
+ Implicit Arguments clos_refl_trans_n1 [A].
+ Implicit Arguments clos_refl_sym_trans [A].
+ Implicit Arguments clos_refl_sym_trans_1n [A].
+ Implicit Arguments clos_refl_sym_trans_n1 [A].
+ Implicit Arguments clos_trans [A].
+ Implicit Arguments clos_trans_1n [A].
+ Implicit Arguments clos_trans_n1 [A].
+ Implicit Arguments inclusion [A].
+ Implicit Arguments preorder [A].
+
Variable A : Type.
Variable R : relation A.
@@ -40,7 +41,7 @@ Section Properties.
(** Correctness of the reflexive-transitive closure operator *)
- Lemma clos_rt_is_preorder : preorder A (clos_refl_trans R).
+ Lemma clos_rt_is_preorder : preorder R*.
Proof.
apply Build_preorder.
exact (rt_refl A R).