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> how are you supposed to do any nontrivial proofs?

One should also take a look at Isabelle/HOLs AFP here. You can get very far with Metis et al but it is very inefficient computationally.

Especially when proofs get larger and/or layer on abstractions (proving something nontrivial likely involves building on existing algorithms etc.) the ability to make proofs efficient to verify is important.



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