Datasets:
File size: 3,277 Bytes
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license: lgpl-2.1
task_categories:
- text-generation
- feature-extraction
language:
- en
tags:
- theorem-proving
- formal-methods
- coq
- standard-library
size_categories:
- 1K<n<10K
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: 18419}
config_name: default
configs:
- config_name: default
data_files:
- split: train
path: data/train-*
---
# Coq-Stdlib
Structured dataset of definitions and theorems from the Coq standard library.
## Source
- Repository: https://github.com/rocq-prover/stdlib
- Commit: `f76a666b0b2c28c671d4fdf6dd25bcab865b9c36`
- Files: 583
- License: lgpl-2.1
## 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: 18,419
- With proof: 17,842 (96.9%)
- With docstring: 2,948 (16.0%)
- Libraries: 44
### By type
| Type | Count |
|---|---|
| Lemma | 10,045 |
| Definition | 2,527 |
| Notation | 1,550 |
| Theorem | 1,386 |
| Instance | 736 |
| Ltac | 597 |
| Fixpoint | 512 |
| Parameter | 305 |
| Inductive | 182 |
| Axiom | 127 |
| Hypothesis | 107 |
| Let | 105 |
| Record | 60 |
| Class | 45 |
| Example | 42 |
| Corollary | 24 |
| Fact | 17 |
| Coercion | 12 |
| Remark | 11 |
| Scheme | 10 |
| Parameters | 6 |
| CoFixpoint | 5 |
| Variant | 3 |
| CoInductive | 3 |
| Proposition | 1 |
| Structure | 1 |
## Example
```
gt_pred_stt : forall n m, m > S n -> pred m > n
:= fun n m Hgt => proj1 (Nat.lt_succ_lt_pred n m) Hgt.
```
- type: Definition | symbolic_name: `gt_pred_stt` | theories/Arith/Arith_base.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_stdlib_dataset,
title = {Coq-Stdlib},
author = {Norton, Charles},
year = {2026},
note = {Extracted from https://github.com/rocq-prover/stdlib, commit f76a666b0b2c},
url = {https://huggingface.co/datasets/phanerozoic/Coq-Stdlib}
}
```
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