We are going to introduce type theory and develop the necessary knowledge to understand the univalence axiom.
The HoTT book: https://homotopytypetheory.org/book/
00:00 Motivation
01:29 Type theory
02:36 Natural number type
06:26 Identity type
07:30 Universe and transport
10:24 Homotopy type theory
14:03 Equivalence type
15:05 Univalence axiom
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