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add meta.yml and generate README.md, opam file and CI configuration
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# This file was generated from `meta.yml`, please do not edit manually. | ||
# Follow the instructions on https://github.com/coq-community/templates to regenerate. | ||
name: Docker CI | ||
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on: | ||
push: | ||
branches: | ||
- master | ||
pull_request: | ||
branches: | ||
- '**' | ||
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jobs: | ||
build: | ||
# the OS must be GNU/Linux to be able to use the docker-coq-action | ||
runs-on: ubuntu-latest | ||
strategy: | ||
matrix: | ||
image: | ||
- 'coqorg/coq:dev' | ||
- 'coqorg/coq:8.19' | ||
- 'coqorg/coq:8.18' | ||
- 'coqorg/coq:8.17' | ||
- 'coqorg/coq:8.16' | ||
fail-fast: false | ||
steps: | ||
- uses: actions/checkout@v3 | ||
- uses: coq-community/docker-coq-action@v1 | ||
with: | ||
opam_file: 'coq-dedekind-reals.opam' | ||
custom_image: ${{ matrix.image }} | ||
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# See also: | ||
# https://github.com/coq-community/docker-coq-action#readme | ||
# https://github.com/erikmd/docker-coq-github-action-demo |
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A formalization of the Dedekind real numbers in Coq. | ||
<!--- | ||
This file was generated from `meta.yml`, please do not edit manually. | ||
Follow the instructions on https://github.com/coq-community/templates to regenerate. | ||
---> | ||
# Dedekind Reals | ||
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||
The formalization started as a student project at the University of Ljubljana, | ||
under the supervision of Andrej Bauer <[email protected]>, and was brought | ||
to the present state by Vincent Semeria <[email protected]>. | ||
[![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] | ||
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At this point the formalization of the field of reals is finished. There are | ||
still several unfinished theorems concering the lattice-theoretic structure of | ||
the reals (search for `todo` in the Coq files). We would be delighted by | ||
contributions that would bring the formalization closer to completion. | ||
[docker-action-shield]: https://github.com/coq-community/dedekind-reals/actions/workflows/docker-action.yml/badge.svg?branch=master | ||
[docker-action-link]: https://github.com/coq-community/dedekind-reals/actions/workflows/docker-action.yml | ||
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#### Compilation instruction | ||
[contributing-shield]: https://img.shields.io/badge/contributions-welcome-%23f7931e.svg | ||
[contributing-link]: https://github.com/coq-community/manifesto/blob/master/CONTRIBUTING.md | ||
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A fairly recent version of Coq should do. Run `make` to compile the files: | ||
[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 | ||
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* `make` -- to compile | ||
* `make all` -- to make all that is to be made | ||
* `make clean` -- to remove the compiled files | ||
* `make html` -- to make the HTML documentation | ||
* `make install` -- installs files as the library `DedekindReals` | ||
[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 | ||
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#### Structure of the modules | ||
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* `MiscLemmas`: various lemmas about rational numbers | ||
* `Cut`: definition of Dedekind cuts and several other basic notions | ||
* `Additive`: Additive structure of the reals | ||
* `Multiplication` : Multiplicative structure of the relas | ||
* `Order` : The order on the reals | ||
* `Archimedean`: the proof that the reals satisfy the archimedean property | ||
* `Completeness`: the reals are Dedekind-complete | ||
|
||
A formalization of Dedekind reals numbers that started as a | ||
student project at the University of Ljubljana under the supervision | ||
of Andrej Bauer, and was brought to the present state by Vincent Semeria. | ||
|
||
At this point the formalization of the field of reals is finished. | ||
There are still several unfinished theorems concering the lattice-theoretic | ||
structure of the reals (search for `todo` in the Coq files). We would be | ||
delighted by contributions that would bring the formalization | ||
closer to completion. | ||
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## Meta | ||
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||
- Author(s): | ||
- Andrej Bauer | ||
- Vincent Semeria | ||
- Coq-community maintainer(s): | ||
- Andrej Bauer ([**@andrejbauer**](https://github.com/andrejbauer)) | ||
- License: [MIT License](LICENSE) | ||
- Compatible Coq versions: 8.16 and later | ||
- Additional dependencies: none | ||
- Coq namespace: `DedekindReals` | ||
- Related publication(s): none | ||
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## Building instructions | ||
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To build and install, do: | ||
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```shell | ||
git clone https://github.com/coq-community/dedekind-reals.git | ||
cd dedekind-reals | ||
make # or make -j <number-of-cores-on-your-machine> | ||
make install | ||
``` | ||
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## Structure of the modules | ||
|
||
- `MiscLemmas`: various lemmas about rational numbers | ||
- `Cut`: definition of Dedekind cuts and several other basic notions | ||
- `Additive`: Additive structure of the reals | ||
- `Multiplication` : Multiplicative structure of the relas | ||
- `Order` : The order on the reals | ||
- `Archimedean`: the proof that the reals satisfy the archimedean property | ||
- `Completeness`: the reals are Dedekind-complete |
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# This file was generated from `meta.yml`, please do not edit manually. | ||
# Follow the instructions on https://github.com/coq-community/templates to regenerate. | ||
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opam-version: "2.0" | ||
maintainer: "[email protected]" | ||
version: "dev" | ||
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homepage: "https://github.com/coq-community/dedekind-reals" | ||
dev-repo: "git+https://github.com/coq-community/dedekind-reals.git" | ||
bug-reports: "https://github.com/coq-community/dedekind-reals/issues" | ||
license: "MIT" | ||
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synopsis: "A formalization of the Dedekind real numbers in Coq" | ||
description: """ | ||
A formalization of Dedekind reals numbers that started as a | ||
student project at the University of Ljubljana under the supervision | ||
of Andrej Bauer, and was brought to the present state by Vincent Semeria. | ||
|
||
At this point the formalization of the field of reals is finished. | ||
There are still several unfinished theorems concering the lattice-theoretic | ||
structure of the reals (search for `todo` in the Coq files). We would be | ||
delighted by contributions that would bring the formalization | ||
closer to completion.""" | ||
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build: [make "-j%{jobs}%"] | ||
install: [make "install"] | ||
depends: [ | ||
"coq" {>= "8.16"} | ||
] | ||
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tags: [ | ||
"category:Mathematics/Real Calculus and Topology" | ||
"keyword:real numbers" | ||
"keyword:analysis" | ||
"logpath:DedekindReals" | ||
] | ||
authors: [ | ||
"Andrej Bauer <[email protected]>" | ||
"Vincent Semeria <[email protected]>" | ||
] |
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--- | ||
fullname: Dedekind Reals | ||
shortname: dedekind-reals | ||
organization: coq-community | ||
community: true | ||
action: true | ||
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synopsis: A formalization of the Dedekind real numbers in Coq | ||
|
||
description: |- | ||
A formalization of Dedekind reals numbers that started as a | ||
student project at the University of Ljubljana under the supervision | ||
of Andrej Bauer, and was brought to the present state by Vincent Semeria. | ||
At this point the formalization of the field of reals is finished. | ||
There are still several unfinished theorems concering the lattice-theoretic | ||
structure of the reals (search for `todo` in the Coq files). We would be | ||
delighted by contributions that would bring the formalization | ||
closer to completion. | ||
authors: | ||
- name: Andrej Bauer | ||
email: [email protected] | ||
- name: Vincent Semeria | ||
email: [email protected] | ||
|
||
maintainers: | ||
- name: Andrej Bauer | ||
nickname: andrejbauer | ||
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opam-file-maintainer: [email protected] | ||
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opam-file-version: dev | ||
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build: |- | ||
## Building instructions | ||
To build and install, do: | ||
```shell | ||
git clone https://github.com/coq-community/dedekind-reals.git | ||
cd dedekind-reals | ||
make # or make -j <number-of-cores-on-your-machine> | ||
make install | ||
``` | ||
license: | ||
fullname: MIT License | ||
identifier: MIT | ||
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supported_coq_versions: | ||
text: 8.16 and later | ||
opam: '{>= "8.16"}' | ||
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tested_coq_opam_versions: | ||
- version: 'dev' | ||
- version: '8.19' | ||
- version: '8.18' | ||
- version: '8.17' | ||
- version: '8.16' | ||
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namespace: DedekindReals | ||
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keywords: | ||
- name: real numbers | ||
- name: analysis | ||
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categories: | ||
- name: Mathematics/Real Calculus and Topology | ||
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documentation: |- | ||
## Structure of the modules | ||
- `MiscLemmas`: various lemmas about rational numbers | ||
- `Cut`: definition of Dedekind cuts and several other basic notions | ||
- `Additive`: Additive structure of the reals | ||
- `Multiplication` : Multiplicative structure of the relas | ||
- `Order` : The order on the reals | ||
- `Archimedean`: the proof that the reals satisfy the archimedean property | ||
- `Completeness`: the reals are Dedekind-complete | ||
--- |