jamesa9283 / gyrovectors-lean

This is a package, currently under production, that allow the use of gyrovectors and gyrogroups in lean. These can be used to define general relativity, and they will be, eventually.

Gyrovector spaces and groups

This is a package, currently under production, that allow the use of gyrovectors and gyrogroups in lean. These can be used to define general relativity, and they will be, eventually (my lecturers will be proud I'm finally doing some applied mathematics).

What am I currently working on?

Look at my project board, it should be kept relatively up to date. If you feel the need to note the lack of up-to-dateness, find me on twitter or the zulip chat (its where I can usually be found).

General Relativity in lean

Yes, thats what I thought. It sounds so very cool right? Once I've started this part of the project I'll write more about what exactly I'm doing with it.

gyrovectors-lean's Issues

Proving that every normal group is a gyrogroup

Prove \if a\odot b = I, S \equiv G
or something along those lines. I'm unsure

\oplus not accepting real numbers

When I run something like
lemma gyrop_add : 0 ⊙ a := sorry
It expects a function, not a number.

Getting all the notation and basic code in place

Getting to a point where most if not all of the groups I will be using are formalised and I get no errors with notation etc.

\ominus only wants two inputs

I want to be able to use \ominus as normal minus' work but it won't accept only one input