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+Require Import Setoid.
+
+Section Setoid_Bug.
+
+Variable X:Type -> Type.
+Variable Xeq : forall A, (X A) -> (X A) -> Prop.
+Hypothesis Xst : forall A, Equivalence (Xeq A).
+
+Variable map : forall A B, (A -> B) -> X A -> X B.
+
+Implicit Arguments map [A B].
+
+Goal forall A B (a b:X (B -> A)) (c:X A) (f:A -> B -> A), Xeq _ a b -> Xeq _ b (map f c) -> Xeq _ a (map f c).
+intros A B a b c f Hab Hbc.
+rewrite Hab.
+assumption.
+Qed.