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--- |
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license: apache-2.0 |
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task_categories: |
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- text-generation |
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- feature-extraction |
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language: |
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- en |
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tags: |
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- theorem-proving |
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- formal-methods |
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- lean4 |
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- mathlib |
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- mathematics |
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size_categories: |
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- 100K<n<1M |
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dataset_info: |
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features: |
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- name: fact |
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dtype: string |
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- name: type |
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dtype: string |
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- name: library |
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dtype: string |
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- name: imports |
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list: string |
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- name: filename |
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dtype: string |
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- name: symbolic_name |
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dtype: string |
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- name: docstring |
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dtype: string |
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splits: |
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- name: train |
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num_bytes: 110117432 |
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num_examples: 193047 |
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download_size: 26646919 |
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dataset_size: 110117432 |
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configs: |
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- config_name: default |
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data_files: |
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- split: train |
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path: data/train-* |
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--- |
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# Mathlib4 |
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Structured dataset of mathematical formalizations from the Mathlib4 library for Lean 4. |
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## Dataset Description |
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- **Source:** [leanprover-community/mathlib4](https://github.com/leanprover-community/mathlib4) |
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- **Entries:** 193,047 |
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- **Files processed:** 6,943 |
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- **License:** Apache 2.0 |
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## Schema |
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| Column | Type | Description | |
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|--------|------|-------------| |
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| fact | string | Full declaration body | |
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| type | string | theorem, lemma, def, class, structure, instance, inductive, abbrev, axiom | |
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| library | string | Top-level Mathlib module (Algebra, Analysis, Topology, etc.) | |
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| imports | list | Import statements from source file | |
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| filename | string | Source file path within Mathlib | |
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| symbolic_name | string | Declaration identifier | |
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| docstring | string | Documentation comment (30% coverage) | |
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## Statistics |
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### By Type |
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| Type | Count | Percentage | |
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|------|-------|------------| |
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| theorem | 111,804 | 57% | |
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| lemma | 36,970 | 19% | |
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| def | 27,965 | 14% | |
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| instance | 10,322 | 5% | |
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| abbrev | 2,570 | 1% | |
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| class | 1,710 | 1% | |
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| structure | 1,387 | 1% | |
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| inductive | 310 | <1% | |
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### By Library (Top 10) |
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| Library | Count | |
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|---------|-------| |
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| Algebra | 30,936 | |
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| Analysis | 20,343 | |
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| Data | 20,327 | |
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| CategoryTheory | 18,553 | |
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| Topology | 16,800 | |
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| Order | 13,686 | |
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| RingTheory | 12,566 | |
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| LinearAlgebra | 9,279 | |
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| MeasureTheory | 8,927 | |
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| Combinatorics | 4,949 | |
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### Docstring Coverage |
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| Type | With Docstring | |
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|------|----------------| |
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| def | 98% | |
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| class | 98% | |
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| structure | 93% | |
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| theorem | 15% | |
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| lemma | 14% | |
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## Use Cases |
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- Retrieval / RAG for Lean 4 theorem proving |
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- Mathematical content search and exploration |
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- Training embeddings for formal mathematics |
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- Documentation generation |
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- Semantic search over mathematical definitions |
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## Example Entry |
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## Citation |
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If you use this dataset, please cite Mathlib: |
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