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A joy of a dependently-typed language is that first-class abstractions don't just have a cost at runtime (which can be optimized away), but also at proof time. And now your inliner is a piece of ltac or proof automation, that is either way a cost.
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Wanted: partial evaluation and staging for proof search. And I don't mean the idealized proof search of a logic, but the one from a proof assistant, and one supporting domain-specific proof automation.
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TBH I need to understand more about it, but here I think you can consider it's a bit of code that is 'staged'. ie. it won't be compiled until you provide it with a constant argument.
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