Coq-Analysis

Structured dataset from MathComp Analysis — MathComp-compatible classical real analysis.

Source

• Repository: https://github.com/math-comp/analysis
• Commit: 723425a8e25ee4d32ff8409d0294d25d4e43f9ad
• Files: 126
• License: other

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: 10,425
• With proof: 10,238 (98.2%)
• With docstring: 321 (3.1%)
• Libraries: 14

By type

Type	Count
Lemma	6,878
Definition	1,018
Notation	1,001
Let	884
Hypothesis	146
Canonical	139
Fact	95
Instance	87
Theorem	28
Structure	25
Variant	24
Hypotheses	22
Coercion	14
Ltac	13
Corollary	11
Inductive	8
CoInductive	7
Class	6
Axiom	5
Record	4
Fixpoint	4
Remark	2
Parameter	2
Example	2

Example

continuity_ptE (f : R -> R) (x : R) :
  continuity_pt f x <-> {for x, continuous f}.
Proof. exact: continuity_pt_cvg. Qed.

• type: Lemma | symbolic_name: continuity_ptE | analysis_stdlib/Rstruct_topology.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_analysis_dataset,
  title  = {Coq-Analysis},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/math-comp/analysis, commit 723425a8e25e},
  url    = {https://huggingface.co/datasets/phanerozoic/Coq-Analysis}
}