Proofs, Formulas & Doctrine
Collection
Snapshot-indexed Lean 4 proofs, canonical formulas, doctrine, thesis, and the Ouroboros self-verifying-loop work. Claims apply only to recorded commit • 10 items • Updated
Dataset Viewer
The dataset viewer is not available for this split.
Cannot load the dataset split (in streaming mode) to extract the first rows.
Error code: StreamingRowsError
Exception: CastError
Message: Couldn't cast
meta: struct<title: string, repo: string, commit: string, commit_date: timestamp[s], generated: timestamp[ (... 236 chars omitted)
child 0, title: string
child 1, repo: string
child 2, commit: string
child 3, commit_date: timestamp[s]
child 4, generated: timestamp[s]
child 5, lean_toolchain: string
child 6, mathlib_version: string
child 7, total_lean_files: int64
child 8, total_declarations: int64
child 9, status_counts: struct<GREEN: int64, TRACKED: int64, RED: int64>
child 0, GREEN: int64
child 1, TRACKED: int64
child 2, RED: int64
child 10, thesis_doi: string
child 11, lean_doi: string
child 12, orcid: string
child 13, note: string
declarations: list<item: struct<id: int64, name: string, kind: string, file: string, file_sha: string, line: int64 (... 72 chars omitted)
child 0, item: struct<id: int64, name: string, kind: string, file: string, file_sha: string, line: int64, status: s (... 60 chars omitted)
child 0, id: int64
child 1, name: string
child 2, kind: string
child 3, file: string
child 4, file_sha: string
child 5, line: int64
child 6, status: string
child 7, runtime_gate: string
child 8, axiom_deps: list<item: string>
child 0, item: string
repo_id: string
managed_at: string
repo_type: string
non_destructive: bool
canonical_github_org: string
observed_sha_before_upgrade: string
schema: string
generation: string
clone_of: null
canonical_flagship: string
organization: string
canonical_rule: string
runtime: null
to
{'canonical_flagship': Value('string'), 'canonical_github_org': Value('string'), 'canonical_rule': Value('string'), 'clone_of': Value('null'), 'generation': Value('string'), 'managed_at': Value('string'), 'non_destructive': Value('bool'), 'observed_sha_before_upgrade': Value('string'), 'organization': Value('string'), 'repo_id': Value('string'), 'repo_type': Value('string'), 'runtime': Value('null'), 'schema': Value('string')}
because column names don't match
Traceback: Traceback (most recent call last):
File "/src/services/worker/src/worker/utils.py", line 149, in get_rows_or_raise
return get_rows(
dataset=dataset,
...<4 lines>...
column_names=column_names,
)
File "/src/libs/libcommon/src/libcommon/utils.py", line 272, in decorator
return func(*args, **kwargs)
File "/src/services/worker/src/worker/utils.py", line 129, in get_rows
rows_plus_one = list(itertools.islice(safe_iter(ds, dataset=dataset), rows_max_number + 1))
File "/src/services/worker/src/worker/utils.py", line 489, in safe_iter
yield from ds.decode(False) if ds.features else ds
File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2818, in __iter__
for key, example in ex_iterable:
^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2355, in __iter__
for key, pa_table in self._iter_arrow():
~~~~~~~~~~~~~~~~^^
File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2380, in _iter_arrow
for key, pa_table in self.ex_iterable._iter_arrow():
~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^
File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 536, in _iter_arrow
for key, pa_table in iterator:
^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 419, in _iter_arrow
for key, pa_table in self.generate_tables_fn(**gen_kwags):
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
self._cast_table(pa_table, json_field_paths=json_field_paths),
~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
pa_table = table_cast(pa_table, self.info.features.arrow_schema)
File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2369, in table_cast
return cast_table_to_schema(table, schema)
File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
raise CastError(
...<3 lines>...
)
datasets.table.CastError: Couldn't cast
meta: struct<title: string, repo: string, commit: string, commit_date: timestamp[s], generated: timestamp[ (... 236 chars omitted)
child 0, title: string
child 1, repo: string
child 2, commit: string
child 3, commit_date: timestamp[s]
child 4, generated: timestamp[s]
child 5, lean_toolchain: string
child 6, mathlib_version: string
child 7, total_lean_files: int64
child 8, total_declarations: int64
child 9, status_counts: struct<GREEN: int64, TRACKED: int64, RED: int64>
child 0, GREEN: int64
child 1, TRACKED: int64
child 2, RED: int64
child 10, thesis_doi: string
child 11, lean_doi: string
child 12, orcid: string
child 13, note: string
declarations: list<item: struct<id: int64, name: string, kind: string, file: string, file_sha: string, line: int64 (... 72 chars omitted)
child 0, item: struct<id: int64, name: string, kind: string, file: string, file_sha: string, line: int64, status: s (... 60 chars omitted)
child 0, id: int64
child 1, name: string
child 2, kind: string
child 3, file: string
child 4, file_sha: string
child 5, line: int64
child 6, status: string
child 7, runtime_gate: string
child 8, axiom_deps: list<item: string>
child 0, item: string
repo_id: string
managed_at: string
repo_type: string
non_destructive: bool
canonical_github_org: string
observed_sha_before_upgrade: string
schema: string
generation: string
clone_of: null
canonical_flagship: string
organization: string
canonical_rule: string
runtime: null
to
{'canonical_flagship': Value('string'), 'canonical_github_org': Value('string'), 'canonical_rule': Value('string'), 'clone_of': Value('null'), 'generation': Value('string'), 'managed_at': Value('string'), 'non_destructive': Value('bool'), 'observed_sha_before_upgrade': Value('string'), 'organization': Value('string'), 'repo_id': Value('string'), 'repo_type': Value('string'), 'runtime': Value('null'), 'schema': Value('string')}
because column names don't matchNeed help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
Part of the SZL Holdings governed estate — claims are designed to carry checkable receipts. Verification proves integrity & origin, never accuracy or performance.
Lean Theorem Tree — Declaration Manifest Snapshot (269 @ c4d13795)
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 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 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 + 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 — Doctrine v11 LOCKED |
| Anchor formulas | 44 specified | a11oy#114 |
| Kernel green | Mathlib 4.13.0 d7317655 | PR #106 |
| HF Spaces | 13 | SZLHOLDINGS org |
| HF Datasets | 27 | SZLHOLDINGS org |
| Zenodo DOIs | 6 release + 1 concept alias | 10.5281/zenodo.20434276 |
| HF Models | 8 | SZLHOLDINGS org |
| RAE-1 protocol | merged | a11oy#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 · DOI 10.5281/zenodo.20434276
- Lean companion: lutar-lean · DOI 10.5281/zenodo.20424992
- Receipts: Hatun MCP · szlholdings-hatun-mcp.hf.space
- Verifiable corpus: SZLHOLDINGS/a11oy-verifiable-corpus — signed receipts + kernel-checked theorems (verify-it-yourself)
- Live demo: a11oy console → a-11-oy.com · a11oy Space · killinchu
- Catalog: SZLHOLDINGS on HuggingFace
- Source: lean-theorem-tree on GitHub
Provenance
| Field | Value |
|---|---|
| Ecosystem stage | generated-mirror |
| Ecosystem stage matrix | SZLHOLDINGS org |
| MCP gateway | 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 |
| Lean companion DOI | 10.5281/zenodo.20424992 |
| Author | Stephen Paul Lutar Jr. · ORCID 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
Citation
Cite this. Part of the SZL Holdings Ouroboros Thesis (Governed Post-Determinism).
Concept DOI (always-latest): 10.5281/zenodo.19944926.
Author: Stephen P. Lutar Jr. · ORCID 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.
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%.
@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
🛡️ SZLHOLDINGS on Hugging Face → · a-11-oy.com → · Estate hub — live →
Governed AI you can prove.
SLSA: L1 honest · L2 attested · L3 roadmap. Λ = Conjecture 1 (advisory, never a theorem). Trust ceiling 0.97 — never 100%. Labels honest by default: MEASURED / REPORTED / MODELED / HEURISTIC / UNKNOWN / UNAVAILABLE. locked-proven = exactly 8 {F1,F4,F7,F11,F12,F18,F19,F22}.
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