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license: other
task_categories:
- text-generation
- feature-extraction
language:
- en
tags:
- theorem-proving
- formal-methods
- redprl
- cubical-type-theory
- computational-type-theory
size_categories:
- 10K<n<100K
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: 290}
config_name: default
configs:
- config_name: default
data_files:
- split: train
path: data/train-*
---
# RedPRL
Declarations from RedPRL, a cubical/computational type theory system.
## Source
- Repository: https://github.com/RedPRL/sml-redprl
- Commit: `c72190de76f7ed1cfbe1d2046c96e99ac5022b0c`
- Files: 57
- License: other
## 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: 290
- With proof: 289 (99.7%)
- With docstring: 0 (0.0%)
- Libraries: 3
### By type
| Type | Count |
|---|---|
| theorem | 242 |
| define | 35 |
| tactic | 10 |
| data | 3 |
## Example
```
Test(#l:lvl) : (Category (++#l))
by {
{ ob = `(U #l)
, hom = lam ty/a ty/b => `(-> ty/a ty/b)
, idn = lam ty/a x => `x
, cmp = lam ty/a ty/b ty/a f g x => use f [use g [`x]]
, idn/l = lam _ _ _ => auto
, idn/r = lam _ _ _ => auto
, assoc = lam _ _ _ _ _ _ _ => auto
}
}.
```
- type: theorem | symbolic_name: `Test` | example/category.prl
## 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{redprl_dataset,
title = {RedPRL},
author = {Norton, Charles},
year = {2026},
note = {Extracted from https://github.com/RedPRL/sml-redprl, commit c72190de76f7},
url = {https://huggingface.co/datasets/phanerozoic/RedPRL}
}
```
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