There is a simple proof. When you attack the rebels first, you are asked if you are sure you want to attack this province belonging to rebels. Before attacking every next rebel province this question does not pop up, so you may assume you are at war with all/any rebels. The only exception is when you get an auto cease-fire with rebels (for the conditions of it see elsewhere). Then any new invasion of the rebel province is preceded by the above-mentioned message.
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