2-adjoint equivalences in homotopy type theory

Abstract

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.

Keywords

• mathematics - logic
• mathematics - category theory
• 03b38 type theory (primary), 18n10 2-categories, bicategories, double categories (secondary)