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It depends on the kind of proofs you deal with. If you need to write math in general terms, you can't avoid dealing with at some level the equivalent of category theory and you will want natural access to dependent types. So Coq and Lean. Otoh HOL is easy to comprehend and sufficient for almost everything else. And HOL based provers are designed to work with ATPs. HOL Light in particular is just another OCaml program and all terms and data structures can be easily manipulated in OCaml.



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