Coq-Metalib

Structured declarations from Metalib - a Coq library for programming language metatheory using locally nameless representation. Source: github.com/plclub/metalib

Source

• Repository: https://github.com/plclub/metalib
• Commit: 144ddcd0fff6717229140314cf559d85fad6eae0
• Files: 33
• License: mit

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: 1,259
• With proof: 1,031 (81.9%)
• With docstring: 559 (44.4%)
• Libraries: 5

By type

Type	Count
Lemma	646
Parameter	121
Axiom	94
Ltac	92
Definition	90
Notation	69
Inductive	55
Fixpoint	47
Scheme	13
Theorem	7
Hypothesis	7
Example	7
Coercion	6
Instance	4
Class	1

Example

asn (A:Set) (B:Set) : Set
:=
      | VarAsn : atom -> A -> asn A B
      | AltAsn : B         -> asn A B
    .

• type: Inductive | symbolic_name: asn | Attic/AssumeList.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_metalib_dataset,
  title  = {Coq-Metalib},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/plclub/metalib, commit 144ddcd0fff6},
  url    = {https://huggingface.co/datasets/phanerozoic/Coq-Metalib}
}