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| The educational establishment has an obligation to inform the authorities if the student leaves the course without completing. | |
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he is not leaving without completing, he finished the lectures earlier than expected.
finishing the lectures earlier and completing all requirements does not imply that you have to graduate, this is the first point. You can wait and graduate later, say meanwhile you visit some lectures as pleasure...etc.
You have to right to stay as student until your university allows and extend your permit too. If you want to graduate, this may take 2-3 months until you have everything.
Furthermore I do not think (I am not sure), any educational establishment is informing authorities about your graduation unless the authority is asking for it, and this will happen in the next renewal of your permit.
University does not care about the authority, unless the authority asks them about your situation.