Air Compressor problem

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I figured out what was wrong with my Dad’s air compressor, it had no oil in it.  So I purchased some compressor oil and it still does not work.  All I have to do to get the compressor working is spin the pump pulley while flipping it on.  This will start the compressor working.  I guess since I ran the compressor without oil, the pump is ruined?  Or is their a way to fix it?