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+Module monomorphic.
+ Class Inhabited (A : Type) : Prop := populate { _ : A }.
+ Arguments populate {_} _.
+
+ Instance prod_inhabited {A B : Type} (iA : Inhabited A)
+ (iB : Inhabited B) : Inhabited (A * B) :=
+ match iA, iB with
+ | populate x, populate y => populate (x,y)
+ end.
+ (* Error: In environment
+A : Type
+B : Type
+iA : Inhabited A
+iB : Inhabited B
+The term "(A * B)%type" has type "Type" while it is expected to have type
+"Prop". *)
+End monomorphic.
+
+Module polymorphic.
+ Set Universe Polymorphism.
+ Class Inhabited (A : Type) : Prop := populate { _ : A }.
+ Arguments populate {_} _.
+
+ Instance prod_inhabited {A B : Type} (iA : Inhabited A)
+ (iB : Inhabited B) : Inhabited (A * B) :=
+ match iA, iB with
+ | populate x, populate y => populate (x,y)
+ end.
+End polymorphic.