A Formalization of Topological Spaces in Coq

Abstract It is a wish for Wu Wen-tsun to implement the mechanical proving of theorems in topology. Topological spaces constitute fundamental concept general topology, which significant understanding essential content Based on machine proof system axiomatic set theory, we presented computer formalization topological Coq. Basic examples are formalized, including indiscrete and discrete spaces. Furthermore, formal description some well-known equivalent definitions provided, based neighborhood closure presented. All code has been verified Coq, process standardized, rigorous reliable.