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+Require Import Setoid Morphisms Vector.
+
+Class Equiv A := equiv : A -> A -> Prop.
+Class Setoid A `{Equiv A} := setoid_equiv:> Equivalence (equiv).
+
+Global Declare Instance vec_equiv {A} `{Equiv A} {n}: Equiv (Vector.t A n).
+Global Declare Instance vec_setoid A `{Setoid A} n : Setoid (Vector.t A n).
+
+Global Declare Instance tl_proper1 {A} `{Equiv A} n:
+  Proper ((equiv) ==> (equiv))
+         (@tl A n).
+
+Lemma test:
+  forall {A} `{Setoid A} n (xa ya: Vector.t A (S n)),
+    (equiv xa ya) -> equiv (tl xa) (tl ya).
+Proof.
+  intros A R HA n xa ya Heq.
+  setoid_rewrite Heq.
+  reflexivity.
+Qed.