Formalising Foundations in Dependent Type Theories

57:54 Lean ⊆ HoTT0. See Vladimir Voevodsky - What if Current Foundations of Mathematics are Inconsistent. 

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Thierry Coquand on Dependent type theory and formalization of mathematics (non-technical)


The quality of the sound recording is not great, but it's worth it: 

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I came here because I heard this talk by Simon Willerton last week and he seems to be able to interpret some ideas like extanaturality from higher category theory into 2-category theory, but I am not sure about that: he doesn't say that's what he's done, it's just how it seems to me. 

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