Datasets:
metadata
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
- 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