Block rewards get replaced with fees. Part of the 'blocksize wars' was the decision to not just increase block sizes or (or course) increase issuance of bitcoin but to be honest and recognize that there will be constraints on what's in the core chain and it's going to cost money to get stuff in the core chain. There are fees now and eventually fees will replace inflation. But it's going to be hard to 51% attack it because there will be still people mining chasing those fees.
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