file definitions.v Definition P := Type -> Type. Definition Q := Type -> Type. Definition p : P := [x:Type]x. Definition q : Q := [x:Type]x. file one.v Require definitions. Theorem easy1 : (a : (p Q))True. Auto. Qed. file two.v Require definitions. Theorem easy2 : (a : (q P))True. Auto. Qed.