---
license: bsd-2-clause
tags:
  - theorem-proving
  - formal-methods
  - hol-light
  - higher-order-logic
  - ocaml
task_categories:
  - text-generation
  - feature-extraction
language:
  - en
size_categories:
  - 10K<n<100K
---

# HOL-Light

A structured dataset of theorems and definitions from **HOL Light**, an interactive theorem prover for higher-order logic written in OCaml.

## Source

- **Repository:** https://github.com/jrh13/hol-light
- **License:** BSD-2-Clause

## Statistics

| Property | Value |
|----------|-------|
| **Total Entries** | 34,572 |
| **Theorems** | 32,614 |
| **Definitions** | 1,958 |
| **Source Files** | 556 |

### Top Libraries

| Library | Count |
|---------|-------|
| Multivariate | 16,190 |
| Library | 7,326 |
| core | 2,584 |
| 100 (Flyspeck) | 2,519 |
| RichterHilbertAxiomGeometry | 1,368 |

## Schema

| Column | Type | Description |
|--------|------|-------------|
| `fact` | string | Theorem statement or definition body |
| `type` | string | "theorem" or "definition" |
| `library` | string | HOL Light library directory |
| `imports` | list[string] | OCaml needs statements |
| `filename` | string | Source .ml file |
| `symbolic_name` | string | Theorem/definition name |

## About HOL Light

HOL Light is known for:
- Flyspeck project (formal proof of Kepler conjecture)
- Multivariate analysis library
- Floating-point verification
- Formalization of complex analysis

## Creator

Charles Norton ([phanerozoic](https://huggingface.co/phanerozoic))