diff options
Diffstat (limited to 'theories/Relations/Operators_Properties.v')
-rw-r--r-- | theories/Relations/Operators_Properties.v | 25 |
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). |