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This paper continues investigations in " synthetic homotopy theory " : the use of homotopy type theory to give machine-checked proofs of constructions from homotopy theory. We present a mechanized proof of the Blakers–Massey connec-tivity theorem, a result relating the higher-dimensional homotopy groups of a pushout type (roughly, a space constructed by… (More)

Homotopy type theory is an extension of Martin-Löf type theory with principles inspired by category theory and homotopy theory. With these extensions, type theory can be used to construct proofs of homotopy-theoretic theorems, in a way that is very amenable to computer-checked proofs in proof assistants such as Coq and Agda. In this paper, we give a… (More)

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