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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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- standard-library |
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size_categories: |
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- 10K<n<100K |
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--- |
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# Lean4-Stdlib |
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Structured dataset of definitions and theorems from the Lean 4 standard library (Init + Std). |
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## Dataset Description |
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- **Source:** [leanprover/lean4](https://github.com/leanprover/lean4) (src/Init + src/Std) |
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- **Entries:** 40,600 |
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- **Files processed:** 900 (507 Init + 393 Std) |
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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 | Declaration body (without type keyword) | |
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| type | string | theorem, def, class, structure, instance, inductive, abbrev, axiom, opaque | |
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| library | string | Init.* or Std.* module | |
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| imports | list | Import statements | |
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| filename | string | Source file path | |
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| symbolic_name | string | Declaration identifier | |
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| docstring | string | Documentation comment (16% coverage) | |
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## Statistics |
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### By Type |
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| Type | Count | |
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|------|-------| |
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| theorem | 31,887 | |
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| def | 6,600 | |
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| instance | 426 | |
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| abbrev | 425 | |
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| opaque | 399 | |
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| structure | 382 | |
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| class | 302 | |
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| inductive | 163 | |
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| axiom | 16 | |
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### Docstring Coverage |
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- 6,651 entries with docstrings (16%) |
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## Use Cases |
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- Retrieval/RAG for Lean 4 |
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- Learning core Lean 4 patterns |
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- Training embeddings for formal proofs |
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- API exploration |
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## Related Datasets |
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- [Lean4-Mathlib](https://huggingface.co/datasets/phanerozoic/Lean4-Mathlib) |
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- [Lean4-Changelog](https://huggingface.co/datasets/phanerozoic/Lean4-Changelog) |
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