Hercy Miller -- Master P's son -- is one step closer to having his name cleared in his refrigerator theft case ... prosecutors tell TMZ Sports they've filed documents to drop the felony charge he had been facing.
A spokesperson for the Iron County Attorney's Office tells us ... they submitted a motion to dismiss Miller's case in court on Friday afternoon. If a judge ultimately signs off on it, Miller will be in the clear.
A formal ruling on the matter is expected to come down by the end of next week.