README.md

metadata

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 (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

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 (official leanprover tool)
• Edges: lean-training-data premises (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 project — network science analysis of mathematical knowledge.

License

Apache 2.0