You verify both Bitcoin and Monero supply in the same fashion - by running a node. Monero is more complex math, but math nonetheless.
But in practice, verifying is exactly the same. Why? Because no bitcoiner is manually tallying all UTXOs every time they audit to make sure it is correct. They just run a node.
Right that's basically the whole point of the concept of code is law which applies to xmr as much as bitcoin.
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