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+Program Definition test (a b : nat) : { x : nat | x = a + b } :=
+ ((a + b) : { x : nat | x = a + b }).
+Proof.
+intros.
+reflexivity.
+Qed.
+
+Print test.
+
+Require Import List.
+
+Program hd_opt (l : list nat) : { x : nat | x <> 0 } :=
+ match l with
+ nil => 1
+ | a :: l => a
+ end.