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https://github.com/coq-community/coqtail-math
Coqtail is a library of mathematical theorems and tools proved inside the Coq proof assistant. Results range mostly from arithmetic to real and complex analysis. [maintainer=@jmadiot]
https://github.com/coq-community/coqtail-math
complex-analysis coq real-analysis
Last synced: 3 months ago
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Coqtail is a library of mathematical theorems and tools proved inside the Coq proof assistant. Results range mostly from arithmetic to real and complex analysis. [maintainer=@jmadiot]
- Host: GitHub
- URL: https://github.com/coq-community/coqtail-math
- Owner: coq-community
- License: other
- Created: 2020-10-12T10:26:04.000Z (over 4 years ago)
- Default Branch: master
- Last Pushed: 2024-07-13T15:40:00.000Z (6 months ago)
- Last Synced: 2024-09-30T20:52:44.448Z (4 months ago)
- Topics: complex-analysis, coq, real-analysis
- Language: Coq
- Homepage: https://coqtail.github.io
- Size: 1.39 MB
- Stars: 15
- Watchers: 5
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
# Coqtail
[![Docker CI][docker-action-shield]][docker-action-link]
[![Contributing][contributing-shield]][contributing-link]
[![Code of Conduct][conduct-shield]][conduct-link]
[![Zulip][zulip-shield]][zulip-link]
[docker-action-shield]: https://github.com/coq-community/coqtail-math/actions/workflows/docker-action.yml/badge.svg?branch=master
[docker-action-link]: https://github.com/coq-community/coqtail-math/actions/workflows/docker-action.yml
[contributing-shield]: https://img.shields.io/badge/contributions-welcome-%23f7931e.svg
[contributing-link]: https://github.com/coq-community/manifesto/blob/master/CONTRIBUTING.md
[conduct-shield]: https://img.shields.io/badge/%E2%9D%A4-code%20of%20conduct-%23f15a24.svg
[conduct-link]: https://github.com/coq-community/manifesto/blob/master/CODE_OF_CONDUCT.md
[zulip-shield]: https://img.shields.io/badge/chat-on%20zulip-%23c1272d.svg
[zulip-link]: https://coq.zulipchat.com/#narrow/stream/237663-coq-community-devs.20.26.20users
Coqtail is a library of mathematical theorems and tools proved inside
the Coq proof assistant. Results range mostly from arithmetic to real
and complex analysis.
## Meta
- Author(s):
- Guillaume Allais
- Sylvain Dailler
- Hugo Férée
- Jean-Marie Madiot
- Pierre-Marie Pédrot
- Amaury Pouly
- Coq-community maintainer(s):
- Jean-Marie Madiot ([**@jmadiot**](https://github.com/jmadiot))
- License: [GNU Lesser General Public License v3.0 only](LICENSE)
- Compatible Coq versions: 8.17 or later
- Additional dependencies: none
- Coq namespace: `Coqtail`
- Related publication(s): none
## Building and installation instructions
The easiest way to install the latest released version of Coqtail
is via [OPAM](https://opam.ocaml.org/doc/Install.html):
```shell
opam repo add coq-released https://coq.inria.fr/opam/released
opam install coq-coqtail
```
To instead build and install manually, do:
``` shell
git clone https://github.com/coq-community/coqtail-math.git
cd coqtail-math
make # or make -j
make install
```
## Coqtail and Vim
Note that this project is distinct from [this other project named
Coqtail](https://github.com/whonore/Coqtail), which helps using Coq in Vim.
## Developer's todo list
Big things:
- prove linear and non-linear theory of ℂ is decidable (using Groebner basis)
Lemmas to prove:
- Mertens' Theorem for Complex numbers
- (expand this list to your wish)
Maintenance:
- Use `-Q` instead of `-R` and fix the resulting loadpath problems
- Check for commented lemmas (and admits)
- Remove useless `Require`s
- Check for admits (run `./todos.sh`).
- Check for commented results (run `./todos.sh comments`)