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-rw-r--r--theories/Structures/EqualitiesFacts.v8
-rw-r--r--theories/Structures/OrdersFacts.v2
-rw-r--r--theories/Structures/OrdersLists.v6
3 files changed, 8 insertions, 8 deletions
diff --git a/theories/Structures/EqualitiesFacts.v b/theories/Structures/EqualitiesFacts.v
index d8a1b7581..c69885b46 100644
--- a/theories/Structures/EqualitiesFacts.v
+++ b/theories/Structures/EqualitiesFacts.v
@@ -29,9 +29,9 @@ Module KeyDecidableType(Import D:DecidableType).
(* eqk, eqke are equalities, ltk is a strict order *)
- Global Instance eqk_equiv : Equivalence eqk.
+ Global Instance eqk_equiv : Equivalence eqk := _.
- Global Instance eqke_equiv : Equivalence eqke.
+ Global Instance eqke_equiv : Equivalence eqke := _.
(* Additionnal facts *)
@@ -143,7 +143,7 @@ Module PairDecidableType(D1 D2:DecidableType) <: DecidableType.
Definition eq := (D1.eq * D2.eq)%signature.
- Instance eq_equiv : Equivalence eq.
+ Instance eq_equiv : Equivalence eq := _.
Definition eq_dec : forall x y, { eq x y }+{ ~eq x y }.
Proof.
@@ -159,7 +159,7 @@ End PairDecidableType.
Module PairUsualDecidableType(D1 D2:UsualDecidableType) <: UsualDecidableType.
Definition t := (D1.t * D2.t)%type.
Definition eq := @eq t.
- Program Instance eq_equiv : Equivalence eq.
+ Instance eq_equiv : Equivalence eq := _.
Definition eq_dec : forall x y, { eq x y }+{ ~eq x y }.
Proof.
intros (x1,x2) (y1,y2);
diff --git a/theories/Structures/OrdersFacts.v b/theories/Structures/OrdersFacts.v
index a28b79776..b328ae2e8 100644
--- a/theories/Structures/OrdersFacts.v
+++ b/theories/Structures/OrdersFacts.v
@@ -208,7 +208,7 @@ Module OrderedTypeRev (O:OrderedTypeFull) <: OrderedTypeFull.
Definition t := O.t.
Definition eq := O.eq.
-Instance eq_equiv : Equivalence eq.
+Program Instance eq_equiv : Equivalence eq.
Definition eq_dec := O.eq_dec.
Definition lt := flip O.lt.
diff --git a/theories/Structures/OrdersLists.v b/theories/Structures/OrdersLists.v
index 2ed070268..f83b63779 100644
--- a/theories/Structures/OrdersLists.v
+++ b/theories/Structures/OrdersLists.v
@@ -86,11 +86,11 @@ Module KeyOrderedType(Import O:OrderedType).
(* eqk, eqke are equalities, ltk is a strict order *)
- Global Instance eqk_equiv : Equivalence eqk.
+ Global Instance eqk_equiv : Equivalence eqk := _.
- Global Instance eqke_equiv : Equivalence eqke.
+ Global Instance eqke_equiv : Equivalence eqke := _.
- Global Instance ltk_strorder : StrictOrder ltk.
+ Global Instance ltk_strorder : StrictOrder ltk := _.
Global Instance ltk_compat : Proper (eqk==>eqk==>iff) ltk.
Proof. unfold eqk, ltk; auto with *. Qed.