Datasets:
File size: 1,789 Bytes
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license: other
task_categories:
- text-generation
- feature-extraction
language:
- en
tags:
- theorem-proving
- formal-methods
- coq
- unimath
- univalent-mathematics
size_categories:
- 10K<n<100K
---
# Coq-UniMath
Structured dataset of formalizations from the UniMath library (Univalent Mathematics in Coq).
## Dataset Description
- **Source:** [UniMath/UniMath](https://github.com/UniMath/UniMath)
- **Entries:** 48,240
- **Files processed:** 1,557
- **License:** UniMath License
## Schema
| Column | Type | Description |
|--------|------|-------------|
| fact | string | Full declaration (name, signature, body) |
| type | string | Definition, Lemma, Theorem, Proposition, etc. |
| library | string | Sub-library (Algebra, CategoryTheory, Foundations, etc.) |
| imports | list | Require Import statements |
| filename | string | Source file path |
| symbolic_name | string | Declaration identifier |
| docstring | string | Documentation comment (13% coverage) |
## Statistics
### By Type
| Type | Count |
|------|-------|
| Definition | 30,272 |
| Lemma | 10,231 |
| Proposition | 3,807 |
| Let | 2,878 |
| Theorem | 359 |
| Notation | 233 |
| Ltac | 229 |
| Corollary | 181 |
| Other | 50 |
### Docstring Coverage
- **6,648 entries (13%)** have documentation
## Example Entry
## Use Cases
- Retrieval / RAG for Coq theorem proving
- Univalent mathematics research
- Training embeddings for formal mathematics
- Documentation generation
## Citation
## Changelog
- **v2.0** (Jan 2025): Re-extraction with improved schema
- 38,661 -> 48,240 entries (+25%)
- Added docstring column (13% coverage)
- Changed imports from string to list
- Removed index_level column
- fact now includes full signature
- **v1.0** (Dec 2024): Initial release
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