---
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: line_start, dtype: int64}
  - {name: line_end, dtype: int64}
  - {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 |
| line_start | int | First source line |
| line_end | int | Last source line |
| 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:33

## 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}
}
```