Lean4-CvxLean

Structured dataset from CvxLean — Convex optimization.

Source

• Repository: https://github.com/verified-optimization/CvxLean
• Commit: c62c2f292c6420f31a12e738ebebdfed50f6f840
• Files: 189
• License: apache-2.0

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: 1,242
• With proof: 1,155 (93.0%)
• With docstring: 457 (36.8%)
• Libraries: 29

By type

Type	Count
def	947
lemma	141
structure	48
abbrev	42
inductive	18
macro	10
instance	10
opaque	10
theorem	9
elab	6
class	1

Example

compileCargo (name : String) (manifestFile : FilePath) (cargo : FilePath := "cargo")
    (env : Array (String × Option String)) : LogIO Unit
do
  logInfo s!"Creating {name}"
  proc {
    env := env
    cmd := cargo.toString
    args := #["build", "--release", "--manifest-path", manifestFile.toString]
  }

• type: def | symbolic_name: compileCargo | lakefile.lean

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{lean4_cvxlean_dataset,
  title  = {Lean4-CvxLean},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/verified-optimization/CvxLean, commit c62c2f292c64},
  url    = {https://huggingface.co/datasets/phanerozoic/Lean4-CvxLean}
}