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+Require Import Setoid.
+Require Import Morphisms.
+Require Vector.
+Notation vector := Vector.t.
+Notation Vcons n t := (@Vector.cons _ n _ t).
+
+Class Equiv A := equiv : A -> A -> Prop.
+Class Setoid A `{Equiv A} := setoid_equiv:> Equivalence (equiv).
+
+Instance vecequiv A `{Equiv A} n : Equiv (vector A n).
+admit.
+Qed.
+
+Global Instance vcons_proper A `{Equiv A} `{!Setoid A} :
+ Proper (equiv ==> forall_relation (fun k => equiv ==> equiv))
+ (@Vector.cons A).
+Proof. Admitted.
+
+Instance vecseotid A `{Setoid A} n : Setoid (vector A n).
+Proof. Admitted.
+
+(* Instance equiv_setoid A {e : Equiv A} {s : @Setoid A e} : Equivalence e. *)
+(* apply setoid_equiv. *)
+(* Qed. *)
+(* Typeclasses Transparent Equiv. *)
+
+Goal forall A `{Equiv A} `{!Setoid A} (f : A -> A) (a b : A) (H : equiv a b) n (v : vector A n),
+ equiv (Vcons a v) (Vcons b v).
+Proof.
+ intros.
+ rewrite H0.
+ reflexivity.
+Qed. \ No newline at end of file