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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.
5
votes
formalisation of Bourbaki, General Topology
The particular theorem you mention is formalized in the standard library of the Lean theorem prover here.
Comments at the top of this and other files related to topology indicate that "parts of the f …