---
license: apache-2.0
task_categories:
  - text-generation
  - feature-extraction
language:
  - en
tags:
  - theorem-proving
  - formal-methods
  - lean4
  - standard-library
size_categories:
  - 10K<n<100K
---

# Lean4-Stdlib

Structured dataset of definitions and theorems from the Lean 4 standard library (Init + Std).

## Dataset Description

- **Source:** [leanprover/lean4](https://github.com/leanprover/lean4) (src/Init + src/Std)
- **Entries:** 40,600
- **Files processed:** 900 (507 Init + 393 Std)
- **License:** Apache 2.0

## Schema

| Column | Type | Description |
|--------|------|-------------|
| fact | string | Declaration body (without type keyword) |
| type | string | theorem, def, class, structure, instance, inductive, abbrev, axiom, opaque |
| library | string | Init.* or Std.* module |
| imports | list | Import statements |
| filename | string | Source file path |
| symbolic_name | string | Declaration identifier |
| docstring | string | Documentation comment (16% coverage) |

## Statistics

### By Type
| Type | Count |
|------|-------|
| theorem | 31,887 |
| def | 6,600 |
| instance | 426 |
| abbrev | 425 |
| opaque | 399 |
| structure | 382 |
| class | 302 |
| inductive | 163 |
| axiom | 16 |

### Docstring Coverage
- 6,651 entries with docstrings (16%)

## Use Cases

- Retrieval/RAG for Lean 4
- Learning core Lean 4 patterns
- Training embeddings for formal proofs
- API exploration

## Related Datasets

- [Lean4-Mathlib](https://huggingface.co/datasets/phanerozoic/Lean4-Mathlib)
- [Lean4-Changelog](https://huggingface.co/datasets/phanerozoic/Lean4-Changelog)