README.md

---
license: apache-2.0
language:
  - en
tags:
  - formal-verification
  - lean4
  - mathlib
  - dsse
  - governance
  - agentic-ai
  - arxiv:2401.05566
  - arxiv:2407.11214
  - series-a
  - anthropic
  - doctrine-v7
  - rae-1
  - lean4
  - theorems
  - graph
  - dependency
  - mathlib
  - dataset
pretty_name: "Lean Theorem Tree — 626-Declaration Graph"
size_categories:
  - n<1K
task_categories:
  - other
ecosystem-stage: generated-mirror
---

# Lean Theorem Tree — 626-Declaration Graph

[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.20434276.svg)](https://doi.org/10.5281/zenodo.20434276)
[![Lean Kernel Green](https://img.shields.io/badge/Lean_4.13--kernel--green@7ef33a6-22c55e?style=flat-square)](https://github.com/szl-holdings/lutar-lean/commit/7ef33a6)
[![Sorries](https://img.shields.io/badge/sorries-189_total_(138_baseline%2B51_Putnam)-blue?style=flat-square)](https://github.com/szl-holdings/lutar-lean/pull/116)
[![SLSA L1](https://img.shields.io/badge/SLSA-L1_SBOM+DCO-blue?style=flat-square)](https://slsa.dev)
[![DSSE](https://img.shields.io/badge/DSSE-PAE_v1-22c55e?style=flat-square)](https://slsa.dev/dsse)
[![RAE-1](https://img.shields.io/badge/RAE--1-v1.0-D97757?style=flat-square)](https://huggingface.co/datasets/SZLHOLDINGS/test-results)
[![MCP](https://img.shields.io/badge/MCP-server_live-ff6b35?style=flat-square)](https://huggingface.co/spaces/SZLHOLDINGS/mcp-receipts-server)
[![License](https://img.shields.io/badge/License-Apache_2.0-blue?style=flat-square)](https://www.apache.org/licenses/LICENSE-2.0)

> **Doctrine v7.** No marketing. Every number resolves to a CI log, a Lean proof, or a Zenodo DOI.

Dependency graph of all 626 Lean 4 declarations in the Ouroboros formal verification corpus. Records include: declaration name, type, dependencies, axiom usage flags, sorry status, and Mathlib 4.13.0 compatibility.

5 declarations carry sorry (down from 7 after [PR #109](https://github.com/szl-holdings/lutar-lean/pull/109) discharged P6 and P7). The tree is used by the [lutar-lean-browser space](https://huggingface.co/spaces/SZLHOLDINGS/lutar-lean-browser) for interactive navigation.

## State (live 2026-05-30)

| Metric | Value | Verify |
|---|---|---|
| Lean declarations | 626 | [lutar-lean@7ef33a6](https://github.com/szl-holdings/lutar-lean/commit/7ef33a6) |
| Lean axioms | 15 (14 unique) | A1–A18 honest gap |
| Lean sorries | 138 baseline + 51 Putnam = 189 total | [PR #109 discharged P6+P7](https://github.com/szl-holdings/lutar-lean/pull/109) |
| Anchor formulas | 40 specified | [a11oy#114](https://github.com/szl-holdings/a11oy/pull/114) |
| Kernel green | Mathlib 4.13.0 d7317655 | [PR #106](https://github.com/szl-holdings/lutar-lean/pull/106) |
| HF Spaces | 27 | [SZLHOLDINGS org](https://huggingface.co/SZLHOLDINGS) |
| HF Datasets | 31 | [SZLHOLDINGS org](https://huggingface.co/SZLHOLDINGS) |
| Zenodo DOIs | 6 release + 1 concept alias | [10.5281/zenodo.20434276](https://doi.org/10.5281/zenodo.20434276) |
| RAE-1 protocol | merged | [a11oy#122](https://github.com/szl-holdings/a11oy/pull/122) |
| Putnam 2025 coverage | 10/12 structure · **4/12 GREEN Lean-discharged (A1, A5, B4, B6)** (5 baseline + 134 Putnam tracked) · 4 GREEN (A1/A5/B4/B6) · 2 TRACKED (A2/B1) · 6 staged-advisory (NOT proven) | [agi-forecast PR #51](https://github.com/szl-holdings/agi-forecast/pull/51) |

## Cross-references

- **Thesis**: [Ouroboros Thesis v18](https://doi.org/10.5281/zenodo.20434276) · DOI 10.5281/zenodo.20434276
- **Lean companion**: [lutar-lean](https://doi.org/10.5281/zenodo.20424992) · DOI 10.5281/zenodo.20424992
- **Receipts**: [MCP server](https://huggingface.co/spaces/SZLHOLDINGS/mcp-receipts-server) · szlholdings-mcp-receipts-server.hf.space
- **Test results**: [SZLHOLDINGS/test-results](https://huggingface.co/datasets/SZLHOLDINGS/test-results)
- **Catalog**: [SZLHOLDINGS on HuggingFace](https://huggingface.co/SZLHOLDINGS)
- **Source**: [lean-theorem-tree on GitHub](https://github.com/szl-holdings/lutar-lean)


## Provenance

| Field | Value |
|---|---|
| Ecosystem stage | `generated-mirror` |
| Ecosystem stage matrix | [SZLHOLDINGS/szl-anatomy → Stage Matrix](https://huggingface.co/spaces/SZLHOLDINGS/szl-anatomy) |
| MCP gateway | [szlholdings-mcp-receipts-server.hf.space](https://szlholdings-mcp-receipts-server.hf.space) |
| Doctrine | v7 — no marketing language, every number resolves to a CI log or Zenodo DOI |
| Thesis DOI | [10.5281/zenodo.20434276](https://doi.org/10.5281/zenodo.20434276) |
| Lean companion DOI | [10.5281/zenodo.20424992](https://doi.org/10.5281/zenodo.20424992) |
| Author | Stephen Paul Lutar Jr. · [ORCID 0009-0001-0110-4173](https://orcid.org/0009-0001-0110-4173) |
---

*SZLHOLDINGS · 27+ Spaces / 31+ datasets / 2 models · Lean 626 declarations · 189 sorries (138 baseline + 51 Putnam) · 44 anchor formula gates · 17 MCP tools · 6 release DOIs + 1 concept alias · [HF org](https://huggingface.co/SZLHOLDINGS) · [MCP gateway](https://szlholdings-mcp-receipts-server.hf.space) · [Stage matrix](https://huggingface.co/spaces/SZLHOLDINGS/szl-anatomy) · Doctrine v7*