# Elisabeth Bonnevier: Formalizing Cartesian Cubical Sets in UniMath

MsC Project

**Time: **
Mon 2020-03-30 09.30 - 10.30

**Location: **
Zoom, Meeting ID: 788 997 020

**Participating: **
Elisabeth Bonnevier

**Supervisor: **
Anders Mörtberg

### Abstract

Homotopy type theory is a new formal system for doing constructive mathematics. As a system for logical deductions, its consistency must be verified by models. We will look at an axiomatization of constructive presheaf models of homotopy type theory and show that cartesian cubical sets satisfy four of these axioms. These results are formalized using the UniMath library for the proof assistant Coq, to which we also give an introduction.