Math Substrate
Collection
Lean 4 proofs, canonical formulas, theorem tree. Locked proven set = 8 {F1,F4,F7,F11,F12,F18,F19,F22}. Λ=Conjecture 1. • 5 items • Updated
meta dict | declarations list |
|---|---|
{
"title": "lutar-lean Declaration Manifest",
"repo": "szl-holdings/lutar-lean",
"commit": "c4d13795689601324fce0236351bfe0ade990a43",
"commit_date": "2026-05-29T21:04:30",
"generated": "2026-05-29T22:00:00",
"lean_toolchain": "leanprover/lean4:v4.14.0-rc1",
"mathlib_version": "v4.14.0-rc1",
"total_lean... | [
{
"id": 1,
"name": "Lutar",
"kind": "module",
"file": "Lutar.lean",
"file_sha": "1471c523",
"line": 0,
"status": "GREEN",
"runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
"axiom_deps": []
},
{
"id": 2,
"name": "LutarAxioms",
"kind": "structure",
"fi... |
Lean Theorem Tree — 749-Declaration Graph
Doctrine v11 LOCKED. No marketing. Every number resolves to a CI log, a Lean proof, or a Zenodo DOI.
Dependency graph of all 749 Lean 4 declarations in the Ouroboros formal verification corpus at kernel c7c0ba17. Records include: declaration name, type, dependencies, axiom usage flags, sorry status, and Mathlib 4.13.0 compatibility. (Generated at an earlier state of 626 declarations — title updated to reflect the Doctrine v11 LOCKED count of 749; dataset regeneration from lutar-lean@c7c0ba17 is tracked.)
5 declarations carry sorry (down from 7 after PR #109 discharged P6 and P7). The tree is used by the lutar-lean-browser space for interactive navigation.
State (live 2026-05-30)
| Metric | Value | Verify |
|---|---|---|
| Lean declarations | 749 | lutar-lean@c7c0ba17 |
| Lean axioms | 15 (14 unique) | A1–A18 honest gap |
| Lean sorries | 163 | lutar-lean@c7c0ba17 — Doctrine v11 LOCKED |
| Anchor formulas | 40 specified | a11oy#114 |
| Kernel green | Mathlib 4.13.0 d7317655 | PR #106 |
| HF Spaces | 27 | SZLHOLDINGS org |
| HF Datasets | 31 | SZLHOLDINGS org |
| Zenodo DOIs | 6 release + 1 concept alias | 10.5281/zenodo.20434276 |
| 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 |
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
- Test results: SZLHOLDINGS/test-results
- 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 |
SZLHOLDINGS · 13 Spaces / 28 datasets / 3 models · Lean 749 declarations · 163 sorries (112 baseline + 51 Putnam) · 12 MCP tools · 6 release DOIs + 1 concept alias · HF org · Doctrine v11 LOCKED @ c7c0ba17
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