It depends on how fast the other miners disappeared so that the difficulty can adjust in a timely manner. If the hash rate drops to fast and you are the last m

It depends on how fast the other miners disappeared so that the difficulty can adjust in a timely manner. If the hash rate drops to fast and you are the last miner left, you will have trouble finding a block and so you actually can't mine new blocks. Of course, as the last miner in the world you won't have trouble conducting a hard fork the resets the difficulty.