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license: apache-2.0
task_categories:
- text-generation
- feature-extraction
language:
- en
tags:
- theorem-proving
- formal-methods
- lean4
- batteries
- standard-library
size_categories:
- 1K<n<10K
dataset_info:
features:
- {name: statement, dtype: string}
- {name: proof, dtype: string}
- {name: type, dtype: string}
- {name: symbolic_name, dtype: string}
- {name: library, dtype: string}
- {name: filename, dtype: string}
- {name: imports, list: string}
- {name: deps, list: string}
- {name: docstring, dtype: string}
- {name: source_url, dtype: string}
- {name: commit, dtype: string}
splits:
- {name: train, num_examples: 3061}
config_name: default
configs:
- config_name: default
data_files:
- split: train
path: data/train-*
---
# Lean4-Batteries
Structured dataset from Lean 4 Batteries - the community standard library extensions.
## Source
- Repository: https://github.com/leanprover-community/batteries
- Commit: `41680f5d84023c7406c841d08ef83bf15a9782a6`
- Files: 187
- License: apache-2.0
## Schema
| Column | Type | Description |
|--------|------|-------------|
| statement | string | Declaration signature/claim with the leading keyword removed (verbatim slice); the full declaration minus its proof |
| proof | string | Verbatim proof/body, empty if the declaration has none |
| type | string | Declaration keyword |
| symbolic_name | string | Declaration identifier |
| library | string | Sub-library |
| filename | string | Repository-relative source path |
| imports | list[string] | File-level `Require`/`Import` modules |
| deps | list[string] | Intra-corpus identifiers referenced |
| docstring | string | Preceding documentation comment, empty if absent |
| source_url | string | Upstream repository |
| commit | string | Upstream commit extracted |
## Statistics
- Entries: 3,061
- With proof: 2,965 (96.9%)
- With docstring: 1,199 (39.2%)
- Libraries: 35
### By type
| Type | Count |
|---|---|
| theorem | 1,874 |
| def | 1,005 |
| abbrev | 48 |
| structure | 37 |
| elab | 30 |
| inductive | 24 |
| class | 22 |
| macro | 11 |
| instance | 9 |
| opaque | 1 |
## Example
```
Function.id_def : @id α = fun x => x
rfl
/-! ## decidable -/
protected alias ⟨Decidable.exists_not_of_not_forall, _⟩ := Decidable.not_forall
```
- type: theorem | symbolic_name: `Function.id_def` | Batteries/Logic.lean
## Use
Each declaration is split into a `statement` (signature/claim) and a `proof` (body) that are disjoint
and together form the complete declaration, for proof modeling, autoformalization, retrieval, and
dependency analysis via `deps`.
## Citation
```bibtex
@misc{lean4_batteries_dataset,
title = {Lean4-Batteries},
author = {Norton, Charles},
year = {2026},
note = {Extracted from https://github.com/leanprover-community/batteries, commit 41680f5d8402},
url = {https://huggingface.co/datasets/phanerozoic/Lean4-Batteries}
}
```
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