Coq-ExtLib / README.md
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Re-extract: full statement+proof, normalized schema, provenance
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---
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}
}
```