Datasets:
Fix statistics: verified row counts and kind breakdown
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README.md
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# MathlibGraph: Mathlib Dependency Graph Dataset
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Dependency graph of [Mathlib](https://github.com/leanprover-community/mathlib4) (
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## Files
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| File | Rows | Description |
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|------|------|-------------|
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| `mathlib_nodes.csv` |
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| `mathlib_edges.csv` |
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| `nodes.csv` | 633,364 | Full environment (Lean + Std + Mathlib) |
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| `edges.csv` | 10,889,011 | Full environment edges |
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## Statistics (Mathlib
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| Kind | Count | % |
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|------|-------|---|
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| theorem |
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| definition |
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| abbrev |
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| constructor |
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| inductive |
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## Quick Start
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```python
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from
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import pandas as pd
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nodes =
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print(f"
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# Output:
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```
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## Extraction Pipeline
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| Column | Type | Description |
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|--------|------|-------------|
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| name | string |
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| kind | string | `theorem`, `definition`, `abbrev`, `inductive`, `constructor`,
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| module | string | Lean
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### mathlib_edges.csv
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| Column | Type | Description |
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|--------|------|-------------|
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| source | string | Dependent declaration |
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| target | string | Dependency |
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| is_explicit | bool | Appears in explicit arguments |
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| is_simplifier | bool | Used by simplifier |
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# MathlibGraph: Mathlib Dependency Graph Dataset
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Dependency graph of [Mathlib](https://github.com/leanprover-community/mathlib4) (commit [`534cf0b`](https://github.com/leanprover-community/mathlib4/commit/534cf0b), 2 Feb 2026), the largest formal mathematics library for Lean 4.
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Companion dataset for the paper: *Formalization Encodes Human Organization: A Network Analysis of Mathlib* ([arXiv:2601.22554](https://arxiv.org/abs/2601.22554)).
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## Files
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| File | Rows | Unique entries | Description |
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|------|------|----------------|-------------|
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| `mathlib_nodes.csv` | 317,655 | 308,129 declarations | Mathlib declarations (name, kind, module) |
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| `mathlib_edges.csv` | 8,436,366 | 8,436,366 edges | Mathlib dependencies (source, target, is_explicit) |
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| `nodes.csv` | 633,364 | — | Full environment (Lean + Std + Mathlib) |
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| `edges.csv` | 10,889,011 | — | Full environment edges |
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> **Note:** `mathlib_nodes.csv` contains 9,526 duplicate name rows produced by `@[to_additive]` mirroring. After deduplication, there are **308,129 unique declarations** — the figure used throughout the paper.
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## Statistics (308,129 unique Mathlib declarations)
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| Kind | Count | % |
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|------|-------|---|
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| theorem | 243,725 | 79.1% |
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| definition | 48,664 | 15.8% |
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| abbrev | 6,667 | 2.2% |
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| constructor | 4,755 | 1.5% |
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| inductive | 3,813 | 1.2% |
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| opaque | 499 | 0.2% |
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| quotient | 3 | <0.1% |
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| axiom | 3 | <0.1% |
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## Quick Start
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```python
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from datasets import load_dataset
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import pandas as pd
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nodes = load_dataset("Xinze-Li-Moqian/MathlibGraph",
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data_files="mathlib_nodes.csv", split="train").to_pandas()
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edges = load_dataset("Xinze-Li-Moqian/MathlibGraph",
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data_files="mathlib_edges.csv", split="train").to_pandas()
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# Deduplicate nodes (9,526 @[to_additive] mirrors)
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nodes = nodes.drop_duplicates(subset="name", keep="first")
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print(f"Declarations: {len(nodes):,}, Edges: {len(edges):,}")
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# Output: Declarations: 308,129, Edges: 8,436,366
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```
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## Extraction Pipeline
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| Column | Type | Description |
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|--------|------|-------------|
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| name | string | Fully qualified declaration name (e.g., `CategoryTheory.Functor.comp_id`) |
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| kind | string | `theorem`, `definition`, `abbrev`, `inductive`, `constructor`, `opaque`, `axiom`, `quotient` |
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| module | string | Lean module (e.g., `CategoryTheory.Functor`) |
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### mathlib_edges.csv
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| Column | Type | Description |
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|--------|------|-------------|
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| source | string | Dependent declaration |
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| target | string | Dependency (premise) |
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| is_explicit | bool | Appears in explicit arguments |
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| is_simplifier | bool | Used by simplifier |
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