| --- |
| 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> |
|
|
| [](https://huggingface.co/datasets/SZLHOLDINGS/lean-theorem-tree/tree/main) |
| [](https://huggingface.co/datasets/SZLHOLDINGS/lean-theorem-tree/tree/main) |
| [](https://huggingface.co/datasets/SZLHOLDINGS/lean-theorem-tree) |
|
|
| </p> |
| </div> |
|
|
| # Lean Theorem Tree — Declaration Manifest Snapshot (269 @ c4d13795) |
|
|
| [](https://doi.org/10.5281/zenodo.20434276) |
| [](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17) |
| [](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17) |
| [](https://slsa.dev) |
| [](https://github.com/secure-systems-lab/dsse) |
| [](https://github.com/szl-holdings/a11oy/pull/122) |
| [](https://huggingface.co/spaces/SZLHOLDINGS/hatun-mcp) |
| [](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>* |
|
|
| --- |
|
|
| [](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> |
|
|
