The proof for the Kakutani fixed-point theorem relies on the Brouwer fixed-point theorem (and partition of unity and Caratheodory's theorem). The proof for the Brouwer fixed-point theorem relies on a ...

This repository contains a Lean formalisation of the Banach Fixed Point Theorem (also known as the Contraction Mapping Theorem), a fundamental result in metric space theory. The theorem guarantees the ...