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Homotopy Type Theory in Lean (1704.06781v2)
Published 22 Apr 2017 in cs.LO and math.LO
Abstract: We discuss the homotopy type theory library in the Lean proof assistant. The library is especially geared toward synthetic homotopy theory. Of particular interest is the use of just a few primitive notions of higher inductive types, namely quotients and truncations, and the use of cubical methods.