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-rw-r--r--theories/Structures/OrderedType.v4
1 files changed, 3 insertions, 1 deletions
diff --git a/theories/Structures/OrderedType.v b/theories/Structures/OrderedType.v
index c21d4fa0f..9efb68ab3 100644
--- a/theories/Structures/OrderedType.v
+++ b/theories/Structures/OrderedType.v
@@ -315,12 +315,14 @@ Module KeyOrderedType(O:OrderedType).
Hint Resolve ltk_trans ltk_not_eqk ltk_not_eqke.
Hint Immediate eqk_sym eqke_sym.
- Global Instance eqk_equiv : Equivalence eqk.
+ Global Instance eqk_equiv : Equivalence eqk.
+ Proof. constructor; eauto. Qed.
Global Instance eqke_equiv : Equivalence eqke.
Proof. split; eauto. Qed.
Global Instance ltk_strorder : StrictOrder ltk.
+ Proof. constructor; eauto. intros x; apply (irreflexivity (x:=fst x)). Qed.
Global Instance ltk_compat : Proper (eqk==>eqk==>iff) ltk.
Proof.