{"id":13646261,"url":"https://github.com/stepchowfun/proofs","last_synced_at":"2025-04-12T15:36:00.386Z","repository":{"id":37771808,"uuid":"96195197","full_name":"stepchowfun/proofs","owner":"stepchowfun","description":"My personal repository of formally verified mathematics.","archived":false,"fork":false,"pushed_at":"2025-03-20T09:13:35.000Z","size":1338,"stargazers_count":295,"open_issues_count":1,"forks_count":12,"subscribers_count":10,"default_branch":"main","last_synced_at":"2025-04-03T15:09:51.892Z","etag":null,"topics":["coq","formal-verification","interactive-theorem-proving","proof-assistant","type-theory"],"latest_commit_sha":null,"homepage":"","language":"Coq","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"other","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/stepchowfun.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":"CONTRIBUTING.md","funding":null,"license":"LICENSE.md","code_of_conduct":"CODE_OF_CONDUCT.md","threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2017-07-04T08:35:13.000Z","updated_at":"2025-03-20T09:13:38.000Z","dependencies_parsed_at":"2023-11-24T15:24:46.261Z","dependency_job_id":"f55fbd60-cc3b-4bc1-9cd2-f9174ddd1f85","html_url":"https://github.com/stepchowfun/proofs","commit_stats":{"total_commits":675,"total_committers":4,"mean_commits":168.75,"dds":"0.013333333333333308","last_synced_commit":"e487bab3068a1a13ffb5d0b02031f4f404d0e304"},"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stepchowfun%2Fproofs","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stepchowfun%2Fproofs/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stepchowfun%2Fproofs/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stepchowfun%2Fproofs/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/stepchowfun","download_url":"https://codeload.github.com/stepchowfun/proofs/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":248590236,"owners_count":21129769,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["coq","formal-verification","interactive-theorem-proving","proof-assistant","type-theory"],"created_at":"2024-08-02T01:02:51.662Z","updated_at":"2025-04-12T15:36:00.357Z","avatar_url":"https://github.com/stepchowfun.png","language":"Coq","funding_links":[],"categories":["Rocq Prover","Coq"],"sub_categories":[],"readme":"# Proofs\n\n[![Build status](https://github.com/stepchowfun/proofs/actions/workflows/ci.yml/badge.svg?branch=main)](https://github.com/stepchowfun/proofs/actions?query=branch%3Amain)\n\nThis is my personal repository of formally verified mathematics, including results from category theory, type theory, domain theory, etc., and some original research. All the proofs are verified using the [Coq proof assistant](https://coq.inria.fr/).\n\nIf you want to set up your own repository of formally verified mathematics, you can simply fork this repository and replace the contents of the [`proofs`](https://github.com/stepchowfun/proofs/tree/main/proofs)\u003c!-- [dir:proofs] --\u003e directory with your own proofs. Setting up a Coq project from scratch is not particularly straightforward, so this scaffolding can save you time.\n\nIf you are new to Coq, the repository contains a tutorial [here](https://github.com/stepchowfun/proofs/tree/main/proofs/tutorial)\u003c!-- [dir:proofs/tutorial] --\u003e. I recommend [Software Foundations](https://softwarefoundations.cis.upenn.edu/) and [Certified Programming with Dependent Types](http://adam.chlipala.net/cpdt/) for further learning.\n\n## Instructions\n\nMake sure you have the dependencies listed below. Then you can run `make` in this directory to verify all the proofs. If you change anything, run `make` again to incrementally verify the affected proofs. The build artifacts can be removed with `make clean`.\n\nTo write proofs, you'll want to use an IDE that supports interactive theorem proving. My general recommendation is [VsCoq](https://github.com/coq-community/vscoq), which is a plugin for [Visual Studio Code](https://code.visualstudio.com/). However, you may find the built-in [CoqIDE](https://coq.inria.fr/refman/practical-tools/coqide.html) easier if you're new to interactive theorem proving, since it has buttons you can click on to step through your proofs.\n\n### Dependencies\n\nYou'll need the following:\n\n- [Coq](https://coq.inria.fr/) \u003e= 8.20.1\n  - Make sure to update your [`PATH`](https://en.wikipedia.org/wiki/PATH_\\(variable\\)) to include the location of the Coq binaries (`coqc`, `coqdep`, etc.).\n- [GNU Make](https://www.gnu.org/software/make/) \u003e= 3.79.1\n  - You also need these common Unix tools: `cp`, `find`, and `rm`. If you have `make`, you probably already have those other programs too.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstepchowfun%2Fproofs","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fstepchowfun%2Fproofs","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstepchowfun%2Fproofs/lists"}