README.md

---
license: apache-2.0
language:
- en
tags:
- formal-verification
- lean4
- mathlib
- dsse
- governance
- agentic-ai
- series-a
- anthropic
- doctrine-v11
- rae-1
- lean4
- theorems
- graph
- dependency
- mathlib
- dataset
- doi:10.5281/zenodo.19944926
pretty_name: Lean Theorem Tree — Declaration Manifest Snapshot (269 decls @ c4d13795)
size_categories:
- n<1K
task_categories:
- other
ecosystem-stage: generated-mirror
---

<div align="center">
<p>

[![dataset](https://img.shields.io/badge/dataset-Lean%20theorem%20tree-3af4c8?style=flat-square)](https://huggingface.co/datasets/SZLHOLDINGS/lean-theorem-tree/tree/main)
[![files](https://img.shields.io/badge/files-3-5b8dee?style=flat-square)](https://huggingface.co/datasets/SZLHOLDINGS/lean-theorem-tree/tree/main)
[![license](https://img.shields.io/badge/license-apache--2.0-7e8aa3?style=flat-square)](https://huggingface.co/datasets/SZLHOLDINGS/lean-theorem-tree)

</p>
</div>

# Lean Theorem Tree — Declaration Manifest Snapshot (269 @ c4d13795)

[![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@c7c0ba17-22c55e?style=flat-square)](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17)
[![Sorries](https://img.shields.io/badge/sorries-163-blue?style=flat-square)](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17)
[![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://github.com/secure-systems-lab/dsse)
[![RAE-1](https://img.shields.io/badge/RAE--1-v1.0-D97757?style=flat-square)](https://github.com/szl-holdings/a11oy/pull/122)
[![MCP](https://img.shields.io/badge/MCP-server_live-ff6b35?style=flat-square)](https://huggingface.co/spaces/SZLHOLDINGS/hatun-mcp)
[![License](https://img.shields.io/badge/License-Apache_2.0-blue?style=flat-square)](https://www.apache.org/licenses/LICENSE-2.0)

> **Doctrine v11 LOCKED.** No marketing. Every number resolves to a CI log, a Lean proof, or a Zenodo DOI.

Dependency-graph SNAPSHOT of the Lean 4 declarations in the Ouroboros corpus **as of commit `c4d13795` (2026-05-29, Lean v4.14.0-rc1)** — this data file contains **269 declarations** (247 GREEN / 22 TRACKED), NOT the current count. Records include: declaration name, type, dependencies, axiom-usage flags, sorry status. **The current authoritative counts live in [lutar-lean](https://github.com/szl-holdings/lutar-lean) and the szl-lake receipt ledger: 749/14/163 @ c7c0ba17 (Doctrine v11 LOCKED, 8 locked-proven) and 1401/25/270 on experimental `main`@dc64dd80 (CI-green, never folded into the locked count).** Regeneration of this snapshot from the current HEAD is ROADMAP.

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 provides the dependency graph data for proof landscape visualization. A `lutar-lean-browser` space is ROADMAP.

## State (live 2026-05-30)

| Metric | Value | Verify |
|---|---|---|
| Declarations in THIS snapshot | 269 (@ c4d13795, 2026-05-29) | data/lean_theorem_tree.json |
| Current locked-baseline declarations | 749 @ c7c0ba17 | [lutar-lean](https://github.com/szl-holdings/lutar-lean) + szl-lake |
| Current experimental-main declarations | 1401 @ dc64dd80 (CI-green) | szl-lake tier-state receipt |
| Lean axioms | 15 (14 unique) | A1–A18 honest gap |
| Lean sorries | 163 | [lutar-lean@c7c0ba17](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17) — Doctrine v11 LOCKED |
| Anchor formulas | 44 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 | 13 | [SZLHOLDINGS org](https://huggingface.co/SZLHOLDINGS) |
| HF Datasets | 27 | [SZLHOLDINGS org](https://huggingface.co/SZLHOLDINGS) |
| Zenodo DOIs | 6 release + 1 concept alias | [10.5281/zenodo.20434276](https://doi.org/10.5281/zenodo.20434276) |
| HF Models | 8 | [SZLHOLDINGS org](https://huggingface.co/SZLHOLDINGS) |
| 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 (private repo) |

## 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**: [Hatun MCP](https://huggingface.co/spaces/SZLHOLDINGS/hatun-mcp) · szlholdings-hatun-mcp.hf.space
- **Verifiable corpus**: [SZLHOLDINGS/a11oy-verifiable-corpus](https://huggingface.co/datasets/SZLHOLDINGS/a11oy-verifiable-corpus) — signed receipts + kernel-checked theorems (verify-it-yourself)
- **Live demo**: [a11oy console → a-11-oy.com](https://a-11-oy.com) · [a11oy Space](https://huggingface.co/spaces/SZLHOLDINGS/a11oy) · [killinchu](https://huggingface.co/spaces/SZLHOLDINGS/killinchu)
- **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 org](https://huggingface.co/SZLHOLDINGS) |
| MCP gateway | [szlholdings-hatun-mcp.hf.space](https://szlholdings-hatun-mcp.hf.space) |
| Doctrine | v11 LOCKED (749/14/163 @ c7c0ba17) — 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) |
---

*SZL Holdings · 17 Spaces / 29 datasets / 8 models · Lean 749/14/163 @ c7c0ba17 · Doctrine v11 LOCKED*  
*Signed-off-by: Stephen Lutar <stephenlutar2@gmail.com>*

---

[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.19944926.svg)](https://doi.org/10.5281/zenodo.19944926)

## Citation


**Cite this.** Part of the SZL Holdings *Ouroboros Thesis* (Governed Post-Determinism).  
Concept DOI (always-latest): [10.5281/zenodo.19944926](https://doi.org/10.5281/zenodo.19944926).  
Author: Stephen P. Lutar Jr. · [ORCID 0009-0001-0110-4173](https://orcid.org/0009-0001-0110-4173) · Dataset license: Apache-2.0; the cited program publication is CC-BY-4.0.  
Full DOI-pinned lineage (v1→v26) + the 8 papers: [szl-papers PAPERS_INDEX](https://github.com/szl-holdings/szl-papers/blob/main/PAPERS_INDEX.md).  
No artifact-specific DOI is minted for this dataset; the concept DOI above covers the program.

Honesty (Doctrine v11): Λ unconditional uniqueness is **Conjecture 1** (machine-checked FALSE as stated) — never a theorem; conditional uniqueness is **Theorem U** (axiom-free). Locked-proven formulas = **exactly 8** {F1,F4,F7,F11,F12,F18,F19,F22}; ~185 experimental theorems are a separate CI-green tier; Khipu BFT safety = Conjecture 2. Trust never 100%.

```bibtex
@misc{lutar_szl_ouroboros,
  author    = {Lutar, Stephen P., Jr.},
  title     = {SZL Holdings --- The Ouroboros Thesis (Governed Post-Determinism)},
  year      = {2026},
  publisher = {Zenodo},
  doi       = {10.5281/zenodo.19944926},
  url       = {https://doi.org/10.5281/zenodo.19944926},
  note      = {Concept DOI --- always resolves to the latest version. ORCID 0009-0001-0110-4173. CC-BY-4.0.}
}
```

*Signed-off-by: Stephen Lutar <stephenlutar2@gmail.com>*

---

<div align="center">

**[🛡️ SZLHOLDINGS on Hugging Face →](https://huggingface.co/SZLHOLDINGS)**   ·   **[a-11-oy.com →](https://a-11-oy.com)**   ·   **[Estate hub — live →](https://szlholdings-szl-estate-live.static.hf.space)**

### Governed AI you can prove.

<sub>SLSA: L1 honest · L2 attested · L3 roadmap. Λ = Conjecture 1. Trust ceiling 0.97. Labels honest by default.</sub>

</div>