HOLZero

Declarations from HOL Zero, a minimalist HOL theorem prover by Mark Adams.

Source

• Repository: http://www.proof-technologies.com/holzero/
• Commit: 0.6.3
• Files: 39
• 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: 237
• With proof: 24 (10.1%)
• With docstring: 0 (0.0%)
• Libraries: 1

By type

Type	Count
theorem	207
definition	29
axiom	1

Example

false
= (!(p:bool). p)

• type: definition | symbolic_name: false_def | src/bool.ml

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{holzero_dataset,
  title  = {HOLZero},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from http://www.proof-technologies.com/holzero/, commit 0.6.3},
  url    = {https://huggingface.co/datasets/phanerozoic/HOLZero}
}