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-rw-r--r--theories/Sets/Cpo.v6
-rw-r--r--theories/Sets/Partial_Order.v4
2 files changed, 5 insertions, 5 deletions
diff --git a/theories/Sets/Cpo.v b/theories/Sets/Cpo.v
index 058eec3da..5ab6f3824 100644
--- a/theories/Sets/Cpo.v
+++ b/theories/Sets/Cpo.v
@@ -32,9 +32,9 @@ Section Bounds.
Variable U : Type.
Variable D : PO U.
- Let C := Carrier_of U D.
+ Let C := @Carrier_of U D.
- Let R := Rel_of U D.
+ Let R := @Rel_of U D.
Inductive Upper_Bound (B:Ensemble U) (x:U) : Prop :=
Upper_Bound_definition :
@@ -103,6 +103,6 @@ Section Specific_orders.
Record Chain : Type := Definition_of_chain
{PO_of_chain : PO U;
- Chain_cond : Totally_ordered U PO_of_chain (Carrier_of U PO_of_chain)}.
+ Chain_cond : Totally_ordered U PO_of_chain (@Carrier_of _ PO_of_chain)}.
End Specific_orders.
diff --git a/theories/Sets/Partial_Order.v b/theories/Sets/Partial_Order.v
index 054164da5..8d97e3208 100644
--- a/theories/Sets/Partial_Order.v
+++ b/theories/Sets/Partial_Order.v
@@ -61,7 +61,7 @@ Section Partial_order_facts.
Lemma Strict_Rel_Transitive_with_Rel :
forall x y z:U,
- Strict_Rel_of U D x y -> Rel_of U D y z -> Strict_Rel_of U D x z.
+ Strict_Rel_of U D x y -> @Rel_of U D y z -> Strict_Rel_of U D x z.
Proof.
unfold Strict_Rel_of at 1.
red.
@@ -77,7 +77,7 @@ Section Partial_order_facts.
Lemma Strict_Rel_Transitive_with_Rel_left :
forall x y z:U,
- Rel_of U D x y -> Strict_Rel_of U D y z -> Strict_Rel_of U D x z.
+ @Rel_of U D x y -> Strict_Rel_of U D y z -> Strict_Rel_of U D x z.
Proof.
unfold Strict_Rel_of at 1.
red.