Isomorphism is equality

A Coq formalisation of the proofs Isomorphism is equality by Coquand and Danielsson

Bachelor thesis (2023)

Authors

T. Greeve Electrical Engineering, Mathematics and Computer Science

Contributors

B.P. Ahrens Programming Languages - EEMCS (mentor)
K.F. Wullaert Programming Languages - EEMCS (mentor)
N. Yorke-Smith Algorithmics - EEMCS (graduation committee member)
Faculty
Electrical Engineering, Mathematics and Computer Science, Electrical Engineering, Mathematics and Computer Science
Copyright: © 2023 Tiago Greeve
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Published Date

28-06-2023

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

This paper will give a formalisation of proofs, given in the paper "isomorphism is equality", in the proof assistant language Coq. The formalisations will be added to UniMath library. A library containing machine readable proofs in the mathematical field of Homotopy Type theory, a relatively new field which combines Homotopy Theory and Martin-Löf Type Theory. The proofs that have been formalised are the equality pair lemma and the proof that isomorphism is equivalent to equality. We have also constructed a concrete universe on which we defined a notion of isomorphism, as per the same paper.

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