I am new to blockchains and bitcoins. So, please pardon the lack of understanding. Assume I am a miner who adds a bogus transaction (say a transfer from my account which has 0 balance to my other account). I get lucky and solve the proof-of-work puzzle first with this bogus data. I know that the other miners check if my block's data corresponds to my proof-of-work but do they also check if my data is valid? What happens when they realize that my block (which has been added to the blockchain) is invalid? What incentive do they have to perform this check instead of spending the computation power on solving the next block?
Other similar questions don't talk about the reason why other miners don't simply assume that a block with correct proof-of-work is valid and save time by not validating the data?