| --- |
| license: apache-2.0 |
| task_categories: |
| - graph-ml |
| language: |
| - en |
| tags: |
| - mathematics |
| - lean4 |
| - mathlib |
| - dependency-graph |
| - formal-verification |
| size_categories: |
| - 100K<n<1M |
| --- |
| |
| # MathFactor: Mathlib Dependency Graph Dataset |
|
|
| Dependency graph of [Mathlib](https://github.com/leanprover-community/mathlib4) (v4.28.0-rc1), the largest formal mathematics library for Lean 4. |
|
|
| ## Files |
|
|
| | File | Rows | Description | |
| |------|------|-------------| |
| | `mathlib_nodes.csv` | 347,356 | Mathlib declarations (name, kind, module) | |
| | `mathlib_edges.csv` | 10,417,589 | Mathlib dependencies (source, target, is_explicit) | |
| | `nodes.csv` | 633,364 | Full environment (Lean + Std + Mathlib) | |
| | `edges.csv` | 10,889,011 | Full environment edges | |
| |
| ## Statistics (Mathlib only) |
| |
| | Kind | Count | % | |
| |------|-------|---| |
| | theorem | 273,767 | 78.8% | |
| | definition | 55,671 | 16.0% | |
| | abbrev | 7,490 | 2.2% | |
| | constructor | 5,436 | 1.6% | |
| | inductive | 4,297 | 1.2% | |
| | other | 695 | 0.2% | |
| |
| ## Quick Start |
| |
| ```python |
| from huggingface_hub import hf_hub_download |
| import pandas as pd |
|
|
| nodes = pd.read_csv(hf_hub_download("Xinze-Li-Moqian/mathfactor", "mathlib_nodes.csv", repo_type="dataset")) |
| edges = pd.read_csv(hf_hub_download("Xinze-Li-Moqian/mathfactor", "mathlib_edges.csv", repo_type="dataset")) |
|
|
| print(f"Nodes: {len(nodes)}, Edges: {len(edges)}") |
| # Output: Nodes: 347356, Edges: 10417589 |
| ``` |
| |
| ## Extraction Pipeline |
| |
| - **Nodes**: [lean4export](https://github.com/leanprover/lean4export) (official leanprover tool) |
| - **Edges**: [lean-training-data premises](https://github.com/kim-em/lean-training-data) (Kim Morrison, Mathlib maintainer) |
| - **Filtering**: premises whitelist method — `lake exe premises Mathlib` outputs only Mathlib declarations, which we use to filter the full lean4export output |
| |
| ## Schema |
| |
| ### mathlib_nodes.csv |
| |
| | Column | Type | Description | |
| |--------|------|-------------| |
| | name | string | Declaration name (e.g., `CategoryTheory.Functor.comp_id`) | |
| | kind | string | `theorem`, `definition`, `abbrev`, `inductive`, `constructor`, etc. | |
| | module | string | Lean namespace (e.g., `CategoryTheory.Functor`) | |
| |
| ### mathlib_edges.csv |
| |
| | Column | Type | Description | |
| |--------|------|-------------| |
| | source | string | Dependent declaration | |
| | target | string | Dependency | |
| | is_explicit | bool | Appears in explicit arguments | |
| | is_simplifier | bool | Used by simplifier | |
| |
| ## Citation |
| |
| Part of the [MathFactor](https://github.com/Xinze-Li-Moqian/MathFactor) project — network science analysis of mathematical knowledge. |
| |
| ## License |
| |
| Apache 2.0 |
| |
