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README.md
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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: 20232821
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num_examples: 40600
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download_size: 3888225
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dataset_size: 20232821
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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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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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