English

2-adjoint equivalences in homotopy type theory

Logic 2023-06-22 v4 Category 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

Cite

@article{arxiv.2008.12433,
  title  = {2-adjoint equivalences in homotopy type theory},
  author = {Daniel Carranza and Jonathan Chang and Chris Kapulkin and Ryan Sandford},
  journal= {arXiv preprint arXiv:2008.12433},
  year   = {2023}
}
R2 v1 2026-06-23T18:09:21.902Z