Datasets:

phanerozoic
/

Coq-ExtLib

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

@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}
}