Formalized Haar Measure
Logic in Computer Science
2021-02-16 v1 Functional Analysis
Abstract
We describe the formalization of the existence and uniqueness of Haar measure in the Lean theorem prover. The Haar measure is an invariant regular measure on locally compact groups, and it has not been formalized in a proof assistant before. We will also discuss the measure theory library in Lean's mathematical library \textsf{mathlib}, and discuss the construction of product measures and the proof of Fubini's theorem for the Bochner integral.
Cite
@article{arxiv.2102.07636,
title = {Formalized Haar Measure},
author = {Floris van Doorn},
journal= {arXiv preprint arXiv:2102.07636},
year = {2021}
}
Comments
16 pages (excluding references)