---
license: bsd-2-clause
task_categories:
  - text-generation
  - feature-extraction
language:
  - en
tags:
  - theorem-proving
  - formal-methods
  - coq
size_categories:
  - n<1K
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: 1019}
  config_name: default
configs:
- config_name: default
  data_files:
  - split: train
    path: data/train-*
---

# Coq-ExtLib

Structured dataset from **coq-ext-lib** — Extended standard library with monads and data structures.

## Source

- Repository: https://github.com/coq-community/coq-ext-lib
- Commit: `ddd03d257f6b85a93bfaa0ed4d03658e0ddf5075`
- Files: 129
- License: bsd-2-clause

## 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: 1,019
- With proof: 1,005 (98.6%)
- With docstring: 54 (5.3%)
- Libraries: 15

### By type

| Type | Count |
|---|---|
| Instance | 251 |
| Definition | 238 |
| Lemma | 129 |
| Fixpoint | 114 |
| Theorem | 62 |
| Class | 60 |
| Notation | 57 |
| Inductive | 46 |
| Ltac | 37 |
| Record | 11 |
| Hypothesis | 11 |
| Coercion | 2 |
| CoInductive | 1 |

## Example

```
exp : Type
:=
| ConstI : nat -> exp
| ConstB : bool -> exp
| Plus : exp -> exp -> exp
| If : exp -> exp -> exp -> exp.
```

- type: Inductive | symbolic_name: `exp` | examples/EvalWithExc.v

## 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{coq_extlib_dataset,
  title  = {Coq-ExtLib},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/coq-community/coq-ext-lib, commit ddd03d257f6b},
  url    = {https://huggingface.co/datasets/phanerozoic/Coq-ExtLib}
}
```