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Coq is a formal proof management system, also called an interactive theorem prover. It is used to express mathematical assertions, mechanically check proofs of these assertions, find formal proofs, and extract certified programs.

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On proof-verification using Coq

My questions are: Are there limitations on the kinds of proofs that Coq can verify? How long on average does Coq take to verify a proof? Do math journals use Coq? … How do I go about it if I want to verify a proof using Coq? …
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