Proofs

Open on GitHub

Free Monoid Proof

Free Monoid Proof

I've been learning about free objects in category theory.

Bartosz Milewski's Category Theory for Programmers has been particularly very informative.

Open on GitHub

Lerp Reverse Maths

Lerp Reverse Maths

An investigation into the assumptions from which you can derive the ubiquitous lerp function and it's properties.

Open on GitHub

Hom Functor Play

Hom Functor

Playing with the Hom Functor to better understand it.

Open on GitHub

Zeckendorf Proof?

Zeckendorf

I'm hoping to prove Zeckendorf's theorem in Coq without reference as a personal challenge.

Open on GitHub

Bird-Meertens MaxSegSum

Zeckendorf

I'm trying to (mostly) faithfully translate a theorem from the Bird-Meertens Formalism Wikipedia article into Coq.

Open on GitHub

Cube Diff Vol

Cube Diff Vol

A small project. I'm just playing with Coq.

Open on GitHub

Taylor Polynomials

Cube Diff Vol

Playing with Taylor polynomials using Coq.

Open on GitHub

Odd and Even Parts

Cube Diff Vol

An attempt to recreate a simple proof that all functions between fields can be decomposed into the sum of an even and an odd function.

Open on GitHub

Tarski's Axioms

Cube Diff Vol

Playing with Tarski's axioms for Euclidean geometry.

Open on GitHub

A Complex Equation Envelope

Cube Diff Vol

A Complex Equation Envelope.

Open on GitHub

Vote Share

Vote Share.

A Coq proof regarding a simple question about voting.

Open on GitHub

Superposition Principle

Vote Share.

An investigation into the superposition principle for differential equations.

Open on GitHub

Group Theory

Vote Share.

An extension of my free monoid project with a scope expanding into group theory.