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+Set Primitive Projections.
+Set Implicit Arguments.
+Set Universe Polymorphism.
+Set Asymmetric Patterns.
+Set Printing Projections.
+Inductive sum A B := inl : A -> sum A B | inr : B -> sum A B.
+Inductive Empty :=.
+
+Record category :=
+ { ob :> Type;
+ hom : ob -> ob -> Type
+ }.
+
+Definition sum_category (C D : category) : category :=
+ {|
+ ob := sum (ob C) (ob D);
+ hom x y := match x, y with
+ | inl x, inl y => @hom C x y
+ | inr x, inr y => @hom D x y
+ | _, _ => Empty
+ end |}.
+
+Goal forall C D (x y : ob (sum_category C D)), Type.
+intros C D x y.
+hnf in x, y.
+exact (hom (sum_category _ _) x y).
+Defined. \ No newline at end of file