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What is proofpool?

ailrun/proofpool — explained in plain English

Analysis updated 2026-07-17 · repo last pushed 2026-06-20

★ 2AgdaAudience · researcherComplexity · 4/5ActiveSetup · moderate

In one sentence

A collection of computer-checked mathematical proofs written in Agda, a language for formally proving theorems are correct.

Mindmap

mindmap
  root((proofpool))
    What it does
      Formal math proofs
      Computer-verified logic
      Theorem statements
    Tech stack
      Agda
    Use cases
      Formal verification
      Learning Agda
      Theorem reference
    Audience
      Researchers
      Mathematicians
      Students
    Notable
      Early project
      No compile without proof
      Human-error free math

Code map

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filefunction / class

What do people build with it?

USE CASE 1

Study how mathematical theorems are formally expressed and proven in Agda.

USE CASE 2

Use the repo as a reference for writing computer-verified proofs of your own claims.

USE CASE 3

Explore formal verification techniques as a researcher or student new to the field.

USE CASE 4

Learn Agda's proof-checking style by reading existing verified statements.

What is it built with?

Agda

How do you get it running?

Difficulty · moderate Time to first run · 1h+

Requires installing the Agda compiler and standard library before proofs will type-check.

Copy-paste prompts

Prompt 1
Explain how a proof in this Agda repo guarantees a mathematical claim is correct.
Prompt 2
Help me understand the Agda syntax used to write and verify theorems in this repo.
Prompt 3
Show me how to set up Agda locally so I can compile and check the proofs in this repository.
Prompt 4
Walk me through what it means for a proof to fail to compile in Agda and why that matters.

Frequently asked questions

What is proofpool?

A collection of computer-checked mathematical proofs written in Agda, a language for formally proving theorems are correct.

What language is proofpool written in?

Mainly Agda. The stack also includes Agda.

Is proofpool actively maintained?

Active — commit in last 30 days (last push 2026-06-20).

How hard is proofpool to set up?

Setup difficulty is rated moderate, with roughly 1h+ to a first successful run.

Who is proofpool for?

Mainly researcher.

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