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+Require Import ZArith.
+Require Import Eqdep_dec.
+Local Open Scope Z_scope.
+
+Definition t := { n: Z | n > 1 }.
+
+Program Definition two : t := 2.
+Next Obligation. omega. Qed.
+
+Program Definition t_eq (x y: t) : {x=y} + {x<>y} :=
+  if Z.eq_dec (proj1_sig x) (proj1_sig y) then left _ else right _.
+Next Obligation.
+  destruct x as [x Px], y as [y Py]. simpl in H; subst y.
+  f_equal. apply UIP_dec. decide equality.
+Qed.
+Next Obligation.
+  congruence.
+Qed.
+
+Definition t_list_eq: forall (x y: list t), {x=y} + {x<>y}.
+Proof. decide equality. apply t_eq. Defined.
+
+Goal match t_list_eq (two::nil) (two::nil) with left _ => True | right _ => False end.
+Proof. exact I. Qed.