2-adjoint equivalences in homotopy type theory

28 Aug 2020  ·  Daniel Carranza, Jonathan Chang, Chris Kapulkin, Ryan Sandford ·

We introduce the notion of (half) 2-adjoint equivalences in Homotopy Type Theory and prove their expected properties. We formalized these results in the Lean Theorem Prover.

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Logic Category Theory 03B38 Type theory (Primary), 18N10 2-categories, bicategories, double categories (Secondary)
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