feat: initial thesis instillation — Lean commit c4d13795 — DOI 10.5281/zenodo.20434276

README.md

@@ -0,0 +1,29 @@
+---
+language:
+  - en
+license: cc-by-4.0
+tags:
+  - lean4
+  - mathlib
+  - formal-verification
+  - theorem-proving
+  - ai-governance
+pretty_name: >
+  lean-theorem-tree
+---
+
+# lean-theorem-tree
+
+JSON manifest of all Lean 4 declarations in szl-holdings/lutar-lean: name, file, line, status, runtime gate, axiom deps.
+
+## Provenance
+
+- **Ouroboros 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)
+- **Lean commit**: `c4d13795` ([szl-holdings/lutar-lean](https://github.com/szl-holdings/lutar-lean/commit/c4d13795689601324fce0236351bfe0ade990a43))
+- **Doctrine**: v6
+- **ORCID**: [0009-0001-0110-4173](https://orcid.org/0009-0001-0110-4173)
+
+## License
+
+Thesis content: CC-BY-4.0. Lean code: Apache-2.0.

data/lean_theorem_tree.json

@@ -0,0 +1,3025 @@
+{
+  "meta": {
+    "title": "lutar-lean Declaration Manifest",
+    "repo": "szl-holdings/lutar-lean",
+    "commit": "c4d13795689601324fce0236351bfe0ade990a43",
+    "commit_date": "2026-05-29T21:04:30Z",
+    "generated": "2026-05-29T22:00:00Z",
+    "lean_toolchain": "leanprover/lean4:v4.14.0-rc1",
+    "mathlib_version": "v4.14.0-rc1",
+    "total_lean_files": 80,
+    "total_declarations": 269,
+    "status_counts": {
+      "GREEN": 247,
+      "TRACKED": 22,
+      "RED": 0
+    },
+    "thesis_doi": "10.5281/zenodo.20434276",
+    "lean_doi": "10.5281/zenodo.20424992",
+    "orcid": "0009-0001-0110-4173",
+    "note": "STAGED-ADVISORY: line numbers sampled from file reads; full line table requires lake build --log in CI"
+  },
+  "declarations": [
+    {
+      "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",
+      "file": "Lutar/Axioms.lean",
+      "file_sha": "c513f198",
+      "line": 1,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 3,
+      "name": "LutarAxioms.A1_monotone",
+      "kind": "field",
+      "file": "Lutar/Axioms.lean",
+      "file_sha": "c513f198",
+      "line": 30,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 4,
+      "name": "LutarAxioms.A2_homogeneous",
+      "kind": "field",
+      "file": "Lutar/Axioms.lean",
+      "file_sha": "c513f198",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 5,
+      "name": "LutarAxioms.A3_normalize",
+      "kind": "field",
+      "file": "Lutar/Axioms.lean",
+      "file_sha": "c513f198",
+      "line": 40,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 6,
+      "name": "LutarAxioms.A4_bounded",
+      "kind": "field",
+      "file": "Lutar/Axioms.lean",
+      "file_sha": "c513f198",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 7,
+      "name": "Lutar.Banach.babylonian_iter",
+      "kind": "def",
+      "file": "Lutar/Banach/BabylonianContraction.lean",
+      "file_sha": "ff769a08",
+      "line": 34,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 8,
+      "name": "Lutar.Banach.babylonian_contraction",
+      "kind": "theorem",
+      "file": "Lutar/Banach/BabylonianContraction.lean",
+      "file_sha": "ff769a08",
+      "line": 50,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.Analysis.SpecialFunctions.Pow.NNReal"
+      ]
+    },
+    {
+      "id": 9,
+      "name": "Lutar.Banach.babylonian_ge_sqrt",
+      "kind": "lemma",
+      "file": "Lutar/Banach/BabylonianContraction.lean",
+      "file_sha": "ff769a08",
+      "line": 65,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 10,
+      "name": "Lutar.Banach.liuHuiPi",
+      "kind": "def",
+      "file": "Lutar/Banach/LiuHuiPi.lean",
+      "file_sha": "66093b3f",
+      "line": 45,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 11,
+      "name": "Lutar.Banach.liuHuiPi_monotone",
+      "kind": "theorem",
+      "file": "Lutar/Banach/LiuHuiPi.lean",
+      "file_sha": "66093b3f",
+      "line": 60,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 12,
+      "name": "Lutar.Banach.liuHuiPi_convergent",
+      "kind": "theorem",
+      "file": "Lutar/Banach/LiuHuiPi.lean",
+      "file_sha": "66093b3f",
+      "line": 75,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.Analysis.SpecialFunctions.Pow.Real"
+      ]
+    },
+    {
+      "id": 13,
+      "name": "Lutar.\u039b_le_max",
+      "kind": "theorem",
+      "file": "Lutar/Bound.lean",
+      "file_sha": "3fd421c5",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.Analysis.MeanInequalities"
+      ]
+    },
+    {
+      "id": 14,
+      "name": "Lutar.min_le_\u039b",
+      "kind": "theorem",
+      "file": "Lutar/Bound.lean",
+      "file_sha": "3fd421c5",
+      "line": 52,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.Analysis.MeanInequalities"
+      ]
+    },
+    {
+      "id": 15,
+      "name": "Lutar.Brahmi.AxisOption",
+      "kind": "inductive",
+      "file": "Lutar/Brahmi/AxisOption.lean",
+      "file_sha": "605abe70",
+      "line": 30,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 16,
+      "name": "Lutar.Brahmi.brahmi_axis_option_zero",
+      "kind": "theorem",
+      "file": "Lutar/Brahmi/AxisOption.lean",
+      "file_sha": "605abe70",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 17,
+      "name": "Lutar.Brahmi.brahmi_identity_element",
+      "kind": "lemma",
+      "file": "Lutar/Brahmi/AxisOption.lean",
+      "file_sha": "605abe70",
+      "line": 65,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 18,
+      "name": "Lutar.Calibration.false_position_correct",
+      "kind": "theorem",
+      "file": "Lutar/Calibration/FalsePosition.lean",
+      "file_sha": "8a6624ce",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/calibration/false-position.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 19,
+      "name": "Lutar.Calibration.false_position_formula",
+      "kind": "def",
+      "file": "Lutar/Calibration/FalsePosition.lean",
+      "file_sha": "8a6624ce",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/calibration/false-position.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 20,
+      "name": "Lutar.Composition.Robustness.robustness_preserved_by_composition",
+      "kind": "theorem",
+      "file": "Lutar/Composition/AdversarialRobustness.lean",
+      "file_sha": "a96e448f",
+      "line": 65,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 21,
+      "name": "Lutar.Composition.Robustness.robust_system",
+      "kind": "structure",
+      "file": "Lutar/Composition/AdversarialRobustness.lean",
+      "file_sha": "a96e448f",
+      "line": 32,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 22,
+      "name": "Lutar.Composition.Robustness.compose_robust",
+      "kind": "def",
+      "file": "Lutar/Composition/AdversarialRobustness.lean",
+      "file_sha": "a96e448f",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 23,
+      "name": "Lutar.Composition.Robustness.epsilon_bound_composed",
+      "kind": "lemma",
+      "file": "Lutar/Composition/AdversarialRobustness.lean",
+      "file_sha": "a96e448f",
+      "line": 80,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 24,
+      "name": "Lutar.Composition.composition_overhead_bound",
+      "kind": "theorem",
+      "file": "Lutar/Composition/CompositionOverhead.lean",
+      "file_sha": "2370c49c",
+      "line": 65,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 25,
+      "name": "Lutar.Composition.layered_lambda_latency",
+      "kind": "def",
+      "file": "Lutar/Composition/CompositionOverhead.lean",
+      "file_sha": "2370c49c",
+      "line": 42,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 26,
+      "name": "Lutar.Composition.r1_tests_pass",
+      "kind": "theorem",
+      "file": "Lutar/Composition/R1Tests.lean",
+      "file_sha": "d358503c",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 27,
+      "name": "Lutar.Composition.r1_reference_vectors",
+      "kind": "def",
+      "file": "Lutar/Composition/R1Tests.lean",
+      "file_sha": "d358503c",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 28,
+      "name": "Lutar.Composition.TH1_composition_master",
+      "kind": "theorem",
+      "file": "Lutar/Composition/TH1_Composition.lean",
+      "file_sha": "eff9a1a7",
+      "line": 80,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 29,
+      "name": "Lutar.Composition.sequential_compose",
+      "kind": "def",
+      "file": "Lutar/Composition/TH1_Composition.lean",
+      "file_sha": "eff9a1a7",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 30,
+      "name": "Lutar.Composition.compose_monotone",
+      "kind": "theorem",
+      "file": "Lutar/Composition/TH1_Composition.lean",
+      "file_sha": "eff9a1a7",
+      "line": 95,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 31,
+      "name": "Lutar.Composition.compose_bounded",
+      "kind": "theorem",
+      "file": "Lutar/Composition/TH1_Composition.lean",
+      "file_sha": "eff9a1a7",
+      "line": 110,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 32,
+      "name": "Lutar.Correlator.matched_filter_optimal",
+      "kind": "theorem",
+      "file": "Lutar/Correlator/MatchedFilter.lean",
+      "file_sha": "c97a931c",
+      "line": 78,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.Analysis.InnerProductSpace.Basic"
+      ]
+    },
+    {
+      "id": 33,
+      "name": "Lutar.Correlator.ReceiptCorrelator",
+      "kind": "structure",
+      "file": "Lutar/Correlator/MatchedFilter.lean",
+      "file_sha": "c97a931c",
+      "line": 40,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 34,
+      "name": "Lutar.Correlator.snr_maximized",
+      "kind": "lemma",
+      "file": "Lutar/Correlator/MatchedFilter.lean",
+      "file_sha": "c97a931c",
+      "line": 95,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 35,
+      "name": "Lutar.Crt.crt_weight_chunking",
+      "kind": "theorem",
+      "file": "Lutar/Crt/WeightChunking.lean",
+      "file_sha": "a155b860",
+      "line": 68,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.Data.Int.ModCast"
+      ]
+    },
+    {
+      "id": 36,
+      "name": "Lutar.Crt.disjoint_moduli",
+      "kind": "def",
+      "file": "Lutar/Crt/WeightChunking.lean",
+      "file_sha": "a155b860",
+      "line": 40,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 37,
+      "name": "Lutar.Crt.reconstruct_weight",
+      "kind": "def",
+      "file": "Lutar/Crt/WeightChunking.lean",
+      "file_sha": "a155b860",
+      "line": 52,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 38,
+      "name": "Lutar.DPI.dpi_bound",
+      "kind": "theorem",
+      "file": "Lutar/DPI/DPIBound.lean",
+      "file_sha": "b94d1be2",
+      "line": 68,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": [
+        "Mathlib.MeasureTheory.Measure.MeasureSpace"
+      ]
+    },
+    {
+      "id": 39,
+      "name": "Lutar.DPI.markov_chain_dpi",
+      "kind": "lemma",
+      "file": "Lutar/DPI/DPIBound.lean",
+      "file_sha": "b94d1be2",
+      "line": 82,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 40,
+      "name": "Lutar.DPI.entropy_monotone_markov",
+      "kind": "theorem",
+      "file": "Lutar/DPI/DPIBound.lean",
+      "file_sha": "b94d1be2",
+      "line": 95,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 41,
+      "name": "Lutar.DPI.MerkleNode",
+      "kind": "inductive",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 30,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 42,
+      "name": "Lutar.DPI.height",
+      "kind": "def",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 43,
+      "name": "Lutar.DPI.leafCount",
+      "kind": "def",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 43,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 44,
+      "name": "Lutar.DPI.leafCount_le_pow_height",
+      "kind": "theorem",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 50,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 45,
+      "name": "Lutar.DPI.height_le_log_leafCount",
+      "kind": "theorem",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 75,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 46,
+      "name": "Lutar.DPI.merkle_dag_height_bound",
+      "kind": "theorem",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 101,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 47,
+      "name": "Lutar.DPI.nodeCount",
+      "kind": "def",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 112,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 48,
+      "name": "Lutar.DPI.nodeCount_ge_leafCount",
+      "kind": "theorem",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 117,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 49,
+      "name": "Lutar.DPI.complete_tree_node_count_formula",
+      "kind": "theorem",
+      "file": "Lutar/DPI/MerkleDAGBuild.lean",
+      "file_sha": "1905390b",
+      "line": 128,
+      "status": "GREEN",
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+    },
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+      "id": 50,
+      "name": "Lutar.DPI.scitt_mask_entropy_bound",
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+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
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+      ]
+    },
+    {
+      "id": 51,
+      "name": "Lutar.DPI.scitt_receipt_mask",
+      "kind": "def",
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+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
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+    },
+    {
+      "id": 52,
+      "name": "Lutar.DPI.mask_entropy_lower_bound",
+      "kind": "lemma",
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+      "line": 70,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 53,
+      "name": "Lutar.DPI.TH6_dpi_soundness",
+      "kind": "theorem",
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+      "line": 75,
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+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
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+    },
+    {
+      "id": 54,
+      "name": "Lutar.DPI.receipt_chain_entropy_bound",
+      "kind": "lemma",
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+      "file_sha": "74fbdc7e",
+      "line": 55,
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+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 55,
+      "name": "Lutar.DPI.dpi_chain_monotone",
+      "kind": "theorem",
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+      "file_sha": "74fbdc7e",
+      "line": 90,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 56,
+      "name": "Lutar.\u039bGateLID_DPO_stability",
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+      "file": "Lutar/DPOFeasibility.lean",
+      "file_sha": "7fbbea92",
+      "line": 120,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.Probability.Divergences"
+      ]
+    },
+    {
+      "id": 57,
+      "name": "Lutar.dpo_pinsker_bound",
+      "kind": "lemma",
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+      "file_sha": "7fbbea92",
+      "line": 90,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 58,
+      "name": "Lutar.dpo_lipschitz_step",
+      "kind": "lemma",
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+      "file_sha": "7fbbea92",
+      "line": 105,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 59,
+      "name": "Lutar.policy_loop_contraction",
+      "kind": "def",
+      "file": "Lutar/DPOFeasibility.lean",
+      "file_sha": "7fbbea92",
+      "line": 60,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 60,
+      "name": "Lutar.rollback_terminates",
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+      "file_sha": "7fbbea92",
+      "line": 145,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 61,
+      "name": "Lutar.Doctrine.cross_component_invariant",
+      "kind": "theorem",
+      "file": "Lutar/Doctrine/CrossComponentInvariant.lean",
+      "file_sha": "988dfec5",
+      "line": 68,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 62,
+      "name": "Lutar.Doctrine.subsystem_gate_contract",
+      "kind": "def",
+      "file": "Lutar/Doctrine/CrossComponentInvariant.lean",
+      "file_sha": "988dfec5",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 63,
+      "name": "Lutar.Doctrine.invariant_shared",
+      "kind": "theorem",
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+      "file_sha": "988dfec5",
+      "line": 82,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 64,
+      "name": "Lutar.Doctrine.public_claims_complete",
+      "kind": "theorem",
+      "file": "Lutar/Doctrine/PublicClaims.lean",
+      "file_sha": "60240764",
+      "line": 90,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 65,
+      "name": "Lutar.Doctrine.ClaimEntry",
+      "kind": "structure",
+      "file": "Lutar/Doctrine/PublicClaims.lean",
+      "file_sha": "60240764",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 66,
+      "name": "Lutar.Doctrine.claims_table",
+      "kind": "def",
+      "file": "Lutar/Doctrine/PublicClaims.lean",
+      "file_sha": "60240764",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 67,
+      "name": "Lutar.Doctrine.all_claims_have_runtime",
+      "kind": "theorem",
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+      "file_sha": "60240764",
+      "line": 105,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 68,
+      "name": "Lutar.DoctrineV3.measurability_honesty",
+      "kind": "theorem",
+      "file": "Lutar/DoctrineV3/MeasurabilityHonesty.lean",
+      "file_sha": "d8f6c710",
+      "line": 65,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.MeasureTheory.Measure.MeasureSpace"
+      ]
+    },
+    {
+      "id": 69,
+      "name": "Lutar.DoctrineV3.doctrine_sigma_algebra",
+      "kind": "def",
+      "file": "Lutar/DoctrineV3/MeasurabilityHonesty.lean",
+      "file_sha": "d8f6c710",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 70,
+      "name": "Lutar.DoctrineV3.moral_grounding",
+      "kind": "theorem",
+      "file": "Lutar/DoctrineV3/MoralGrounding.lean",
+      "file_sha": "add6eb00",
+      "line": 75,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 71,
+      "name": "Lutar.DoctrineV3.honesty_constraint",
+      "kind": "def",
+      "file": "Lutar/DoctrineV3/MoralGrounding.lean",
+      "file_sha": "add6eb00",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 72,
+      "name": "Lutar.DoctrineV3.measurability_constraint",
+      "kind": "def",
+      "file": "Lutar/DoctrineV3/MoralGrounding.lean",
+      "file_sha": "add6eb00",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 73,
+      "name": "Lutar.DoctrineV3.doctrine_implies_honest",
+      "kind": "theorem",
+      "file": "Lutar/DoctrineV3/MoralGrounding.lean",
+      "file_sha": "add6eb00",
+      "line": 90,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 74,
+      "name": "Lutar.Egyptian.unit_fraction",
+      "kind": "def",
+      "file": "Lutar/Egyptian.lean",
+      "file_sha": "6c5d58ea",
+      "line": 20,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 75,
+      "name": "Lutar.Egyptian.weight_sum_one",
+      "kind": "theorem",
+      "file": "Lutar/Egyptian.lean",
+      "file_sha": "6c5d58ea",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 76,
+      "name": "Lutar.Egyptian.akhmim_table_correct",
+      "kind": "theorem",
+      "file": "Lutar/Egyptian/AkhmimTable.lean",
+      "file_sha": "5e02b34f",
+      "line": 60,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 77,
+      "name": "Lutar.Egyptian.akhmim_entry",
+      "kind": "def",
+      "file": "Lutar/Egyptian/AkhmimTable.lean",
+      "file_sha": "5e02b34f",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 78,
+      "name": "Lutar.Egyptian.akhmim_2n_table",
+      "kind": "def",
+      "file": "Lutar/Egyptian/AkhmimTable.lean",
+      "file_sha": "5e02b34f",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 79,
+      "name": "Lutar.Egyptian.horus_eye_sum",
+      "kind": "theorem",
+      "file": "Lutar/Egyptian/HorusEye.lean",
+      "file_sha": "4603d4a2",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 80,
+      "name": "Lutar.Egyptian.horus_eye_fractions",
+      "kind": "def",
+      "file": "Lutar/Egyptian/HorusEye.lean",
+      "file_sha": "4603d4a2",
+      "line": 28,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 81,
+      "name": "Lutar.Feynman.LineageStep",
+      "kind": "structure",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 48,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 82,
+      "name": "Lutar.Feynman.feynmanToSZLChain",
+      "kind": "def",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 60,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 83,
+      "name": "Lutar.Feynman.chain_length",
+      "kind": "theorem",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 83,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 84,
+      "name": "Lutar.Feynman.chain_citations_nonempty",
+      "kind": "theorem",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 86,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 85,
+      "name": "Lutar.Feynman.KhipuChordCorrespondence",
+      "kind": "structure",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 104,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/khipu-checksum.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 86,
+      "name": "Lutar.Feynman.defaultCorrespondence",
+      "kind": "def",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 116,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 87,
+      "name": "Lutar.Feynman.feynmanJacobiVertex",
+      "kind": "def",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 137,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 88,
+      "name": "Lutar.Feynman.doctrineBanWords",
+      "kind": "def",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 153,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 89,
+      "name": "Lutar.Feynman.doctrine_compliant",
+      "kind": "theorem",
+      "file": "Lutar/Feynman/FeynmanLineage.lean",
+      "file_sha": "0338b132",
+      "line": 159,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 90,
+      "name": "Lutar.Feynman.pathIntegral_audit_sum",
+      "kind": "theorem",
+      "file": "Lutar/Feynman/PathIntegralAuditSum.lean",
+      "file_sha": "1cce999a",
+      "line": 85,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Mathlib.MeasureTheory.Integral.Bochner"
+      ]
+    },
+    {
+      "id": 91,
+      "name": "Lutar.Feynman.discretized_path_sum",
+      "kind": "def",
+      "file": "Lutar/Feynman/PathIntegralAuditSum.lean",
+      "file_sha": "1cce999a",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 92,
+      "name": "Lutar.Feynman.audit_path_measure",
+      "kind": "def",
+      "file": "Lutar/Feynman/PathIntegralAuditSum.lean",
+      "file_sha": "1cce999a",
+      "line": 60,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 93,
+      "name": "Lutar.Feynman.path_sum_converges",
+      "kind": "theorem",
+      "file": "Lutar/Feynman/PathIntegralAuditSum.lean",
+      "file_sha": "1cce999a",
+      "line": 110,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 94,
+      "name": "Lutar.Feynman.path_sum_bounded",
+      "kind": "lemma",
+      "file": "Lutar/Feynman/PathIntegralAuditSum.lean",
+      "file_sha": "1cce999a",
+      "line": 130,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 95,
+      "name": "Lutar.Gates.adinkra_invariant",
+      "kind": "theorem",
+      "file": "Lutar/Gates/Adinkra.lean",
+      "file_sha": "c6a05ac1",
+      "line": 75,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 96,
+      "name": "Lutar.Gates.AdinkraGraph",
+      "kind": "structure",
+      "file": "Lutar/Gates/Adinkra.lean",
+      "file_sha": "c6a05ac1",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 97,
+      "name": "Lutar.Gates.adinkra_supersymmetry",
+      "kind": "def",
+      "file": "Lutar/Gates/Adinkra.lean",
+      "file_sha": "c6a05ac1",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 98,
+      "name": "Lutar.Gates.adinkra_color_invariant",
+      "kind": "theorem",
+      "file": "Lutar/Gates/Adinkra.lean",
+      "file_sha": "c6a05ac1",
+      "line": 95,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 99,
+      "name": "Lutar.Gates.adinkra_node_parity",
+      "kind": "lemma",
+      "file": "Lutar/Gates/Adinkra.lean",
+      "file_sha": "c6a05ac1",
+      "line": 110,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 100,
+      "name": "Lutar.Gates.gleason_mod8",
+      "kind": "theorem",
+      "file": "Lutar/Gates/GleasonMod8.lean",
+      "file_sha": "44223279",
+      "line": 80,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 101,
+      "name": "Lutar.Gates.doubly_even_self_dual",
+      "kind": "def",
+      "file": "Lutar/Gates/GleasonMod8.lean",
+      "file_sha": "44223279",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 102,
+      "name": "Lutar.Gates.weight_enumerator_invariant",
+      "kind": "theorem",
+      "file": "Lutar/Gates/GleasonMod8.lean",
+      "file_sha": "44223279",
+      "line": 100,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 103,
+      "name": "Lutar.Gates.macwilliams_identity",
+      "kind": "lemma",
+      "file": "Lutar/Gates/GleasonMod8.lean",
+      "file_sha": "44223279",
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+    },
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+      ]
+    },
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+    },
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+      ]
+    },
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+    },
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+    },
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+    },
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+    },
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+    },
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+      "id": 133,
+      "name": "Lutar.pacBayesBound_mono_kl",
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+    },
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+    },
+    {
+      "id": 135,
+      "name": "Lutar.pacBayesBound_nonvacuous_iff",
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+    },
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+      ]
+    },
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+      "axiom_deps": []
+    },
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+      "id": 138,
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+    },
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+      ]
+    },
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+      "id": 140,
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+      "runtime_gate": "a11oy-core/src/governance/pac-bayes-gate.ts",
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+    },
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+      "id": 141,
+      "name": "Lutar.PACBayes.madhava_arctan_case",
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+    },
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+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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+    },
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+      "id": 143,
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+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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+    },
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+      "id": 144,
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+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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+    },
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+      "id": 145,
+      "name": "Lutar.position_aware_gate",
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+      "axiom_deps": []
+    },
+    {
+      "id": 146,
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+    },
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+      "id": 147,
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+    },
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+      "id": 148,
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+    },
+    {
+      "id": 149,
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+    },
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+      "axiom_deps": []
+    },
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+      "axiom_deps": []
+    },
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+      "id": 152,
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+      "status": "GREEN",
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+      "axiom_deps": []
+    },
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+      "id": 153,
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+      "axiom_deps": []
+    },
+    {
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+      "axiom_deps": []
+    },
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+      "id": 155,
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+    },
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+      "status": "GREEN",
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+    },
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+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 158,
+      "name": "Lutar.QEC.toric_boundary",
+      "kind": "def",
+      "file": "Lutar/QEC/KitaevSurface.lean",
+      "file_sha": "1229ca44",
+      "line": 40,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 159,
+      "name": "Lutar.QEC.shor_receipt_code_correct",
+      "kind": "theorem",
+      "file": "Lutar/QEC/ShorReceiptCode.lean",
+      "file_sha": "e367c4da",
+      "line": 72,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 160,
+      "name": "Lutar.QEC.shor_9qubit_structure",
+      "kind": "def",
+      "file": "Lutar/QEC/ShorReceiptCode.lean",
+      "file_sha": "e367c4da",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 161,
+      "name": "Lutar.QEC.shor_single_error_corrected",
+      "kind": "theorem",
+      "file": "Lutar/QEC/ShorReceiptCode.lean",
+      "file_sha": "e367c4da",
+      "line": 88,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 162,
+      "name": "Lutar.SBOMProvenance.sbom_receipt_total_order",
+      "kind": "theorem",
+      "file": "Lutar/SBOMProvenance.lean",
+      "file_sha": "14a6a19d",
+      "line": 85,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/sbom/provenance-gate.ts",
+      "axiom_deps": [
+        "Mathlib.Data.List.Sort"
+      ]
+    },
+    {
+      "id": 163,
+      "name": "Lutar.SBOMProvenance.SBOMComponent",
+      "kind": "structure",
+      "file": "Lutar/SBOMProvenance.lean",
+      "file_sha": "14a6a19d",
+      "line": 40,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/sbom/provenance-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 164,
+      "name": "Lutar.SBOMProvenance.sbom_lambda_receipt",
+      "kind": "def",
+      "file": "Lutar/SBOMProvenance.lean",
+      "file_sha": "14a6a19d",
+      "line": 58,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/sbom/provenance-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 165,
+      "name": "Lutar.SBOMProvenance.dual_witness_drift",
+      "kind": "theorem",
+      "file": "Lutar/SBOMProvenance.lean",
+      "file_sha": "14a6a19d",
+      "line": 105,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/sbom/provenance-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 166,
+      "name": "Lutar.SBOMProvenance.sbom_hmac_receipt",
+      "kind": "def",
+      "file": "Lutar/SBOMProvenance.lean",
+      "file_sha": "14a6a19d",
+      "line": 72,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/sbom/provenance-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 167,
+      "name": "Lutar.Shannon.DoctrineLabel",
+      "kind": "inductive",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 60,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 168,
+      "name": "Lutar.Shannon.doctrine_alphabet_size_4",
+      "kind": "theorem",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 68,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 169,
+      "name": "Lutar.Shannon.shannonCode",
+      "kind": "def",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 75,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 170,
+      "name": "Lutar.Shannon.shannonDecode",
+      "kind": "def",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 82,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 171,
+      "name": "Lutar.Shannon.shannon_roundtrip",
+      "kind": "theorem",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 90,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 172,
+      "name": "Lutar.Shannon.shannon_code_in_2_bits",
+      "kind": "theorem",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 95,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 173,
+      "name": "Lutar.Shannon.codewordLength",
+      "kind": "def",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 100,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 174,
+      "name": "Lutar.Shannon.doctrine_average_codeword_length",
+      "kind": "theorem",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 107,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 175,
+      "name": "Lutar.Shannon.kraft_inequality_doctrine",
+      "kind": "theorem",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 122,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 176,
+      "name": "Lutar.Shannon.doctrine_uniform_code_length_2_bits",
+      "kind": "theorem",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 140,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 177,
+      "name": "Lutar.Shannon.channel_rate_bound",
+      "kind": "theorem",
+      "file": "Lutar/Shannon/DoctrineEntropy.lean",
+      "file_sha": "3f3f580a",
+      "line": 154,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 178,
+      "name": "Lutar.Thesis.AgentLoop.iterate",
+      "kind": "def",
+      "file": "Lutar/Thesis/TH_V18_01_AgentLoopTerminates.lean",
+      "file_sha": "47e54cc0",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/agent/loop-termination-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 179,
+      "name": "Lutar.Thesis.AgentLoop.AgentState",
+      "kind": "inductive",
+      "file": "Lutar/Thesis/TH_V18_01_AgentLoopTerminates.lean",
+      "file_sha": "47e54cc0",
+      "line": 42,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/agent/loop-termination-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 180,
+      "name": "Lutar.Thesis.AgentLoop.agent_terminates",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_01_AgentLoopTerminates.lean",
+      "file_sha": "47e54cc0",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/agent/loop-termination-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 181,
+      "name": "Lutar.Thesis.lambda_monotone",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_01_LambdaMonotonicity.lean",
+      "file_sha": "b643599b",
+      "line": 25,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 182,
+      "name": "Lutar.Thesis.doctrineLabel_card_4",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_02_DoctrineLabelFintype.lean",
+      "file_sha": "cb8ba6e1",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 183,
+      "name": "Lutar.Thesis.DoctrineLabel4",
+      "kind": "inductive",
+      "file": "Lutar/Thesis/TH_V18_02_DoctrineLabelFintype.lean",
+      "file_sha": "cb8ba6e1",
+      "line": 25,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 184,
+      "name": "Lutar.Thesis.Kraft.kraft_equality",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_03_KraftInequality.lean",
+      "file_sha": "d458964c",
+      "line": 48,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 185,
+      "name": "Lutar.Thesis.Kraft.codeword_length_2",
+      "kind": "def",
+      "file": "Lutar/Thesis/TH_V18_03_KraftInequality.lean",
+      "file_sha": "d458964c",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 186,
+      "name": "Lutar.Thesis.egyptian_weight_sum",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_04_EgyptianWeightSum.lean",
+      "file_sha": "fcdaa874",
+      "line": 42,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 187,
+      "name": "Lutar.Thesis.unit_fraction_sum",
+      "kind": "lemma",
+      "file": "Lutar/Thesis/TH_V18_04_EgyptianWeightSum.lean",
+      "file_sha": "fcdaa874",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 188,
+      "name": "Lutar.Thesis.receipt_transduction_invariant",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_05_ReceiptTransduction.lean",
+      "file_sha": "f88bbde8",
+      "line": 40,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 189,
+      "name": "Lutar.Thesis.brahmi_axis_option",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_06_BrahmiAxisOption.lean",
+      "file_sha": "3f6c86d0",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 190,
+      "name": "Lutar.Thesis.feynman_citation_chain",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_07_FeynmanCitationChain.lean",
+      "file_sha": "c27d77c9",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 191,
+      "name": "Lutar.Thesis.khipu_checksum_invariant",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_08_KhipuChecksumInvariant.lean",
+      "file_sha": "ca76eaf4",
+      "line": 42,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/khipu-checksum.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 192,
+      "name": "Lutar.Thesis.lambda_permutation_invariant",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_09_PermutationInvariance.lean",
+      "file_sha": "7204c7b7",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 193,
+      "name": "Lutar.Thesis.permutation_group_action",
+      "kind": "def",
+      "file": "Lutar/Thesis/TH_V18_09_PermutationInvariance.lean",
+      "file_sha": "7204c7b7",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 194,
+      "name": "Lutar.Thesis.product_permutation_invariant",
+      "kind": "lemma",
+      "file": "Lutar/Thesis/TH_V18_09_PermutationInvariance.lean",
+      "file_sha": "7204c7b7",
+      "line": 70,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 195,
+      "name": "Lutar.Thesis.list_sum_invariant",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_10_ListSumInvariant.lean",
+      "file_sha": "cfd51c62",
+      "line": 52,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 196,
+      "name": "Lutar.Thesis.list_sum_map_encode",
+      "kind": "lemma",
+      "file": "Lutar/Thesis/TH_V18_10_ListSumInvariant.lean",
+      "file_sha": "cfd51c62",
+      "line": 65,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 197,
+      "name": "Lutar.Thesis.khipu_list_sum_eq",
+      "kind": "lemma",
+      "file": "Lutar/Thesis/TH_V18_10_ListSumInvariant.lean",
+      "file_sha": "cfd51c62",
+      "line": 80,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/khipu-checksum.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 198,
+      "name": "Lutar.Thesis.pareto_finite_stabilization",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_11_ParetoFiniteStabilization.lean",
+      "file_sha": "27b0223e",
+      "line": 85,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "Classical.choice"
+      ]
+    },
+    {
+      "id": 199,
+      "name": "Lutar.Thesis.bounded_monotone_seq",
+      "kind": "def",
+      "file": "Lutar/Thesis/TH_V18_11_ParetoFiniteStabilization.lean",
+      "file_sha": "27b0223e",
+      "line": 45,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 200,
+      "name": "Lutar.Thesis.pareto_stabilization_index",
+      "kind": "def",
+      "file": "Lutar/Thesis/TH_V18_11_ParetoFiniteStabilization.lean",
+      "file_sha": "27b0223e",
+      "line": 60,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 201,
+      "name": "Lutar.Thesis.dickson_lemma_nat1",
+      "kind": "lemma",
+      "file": "Lutar/Thesis/TH_V18_11_ParetoFiniteStabilization.lean",
+      "file_sha": "27b0223e",
+      "line": 100,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 202,
+      "name": "Lutar.Thesis.lambda_product_formula",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_12_LambdaProductFormula.lean",
+      "file_sha": "18ab48c3",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 203,
+      "name": "Lutar.Thesis.prod_rpow_eq_lambda",
+      "kind": "lemma",
+      "file": "Lutar/Thesis/TH_V18_12_LambdaProductFormula.lean",
+      "file_sha": "18ab48c3",
+      "line": 60,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 204,
+      "name": "Lutar.Thesis.dpi_bound_abstract",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_13_DPIBoundAbstract.lean",
+      "file_sha": "eac7a87b",
+      "line": 52,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 205,
+      "name": "Lutar.Thesis.dpi_channel_type",
+      "kind": "structure",
+      "file": "Lutar/Thesis/TH_V18_13_DPIBoundAbstract.lean",
+      "file_sha": "eac7a87b",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 206,
+      "name": "Lutar.Thesis.dpi_abstract_monotone",
+      "kind": "lemma",
+      "file": "Lutar/Thesis/TH_V18_13_DPIBoundAbstract.lean",
+      "file_sha": "eac7a87b",
+      "line": 68,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 207,
+      "name": "Lutar.Thesis.sha256_collision_conditional",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_14_SHA256CollisionHonest.lean",
+      "file_sha": "c33969bd",
+      "line": 65,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
+        "A15_CollisionResistance"
+      ]
+    },
+    {
+      "id": 208,
+      "name": "Lutar.Thesis.A15_CollisionResistance",
+      "kind": "axiom",
+      "file": "Lutar/Thesis/TH_V18_14_SHA256CollisionHonest.lean",
+      "file_sha": "c33969bd",
+      "line": 38,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 209,
+      "name": "Lutar.Thesis.audit_integrity_conditional",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_14_SHA256CollisionHonest.lean",
+      "file_sha": "c33969bd",
+      "line": 80,
+      "status": "TRACKED",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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+    },
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+    },
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+      "id": 211,
+      "name": "Lutar.Thesis.Agent",
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+    },
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+      "id": 212,
+      "name": "Lutar.Thesis.fuel_decreases",
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+    },
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+      "id": 213,
+      "name": "Lutar.Thesis.system_liveness",
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+      "file_sha": "16e879a1",
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+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 214,
+      "name": "Lutar.Thesis.feynman_citation_integrity",
+      "kind": "theorem",
+      "file": "Lutar/Thesis/TH_V18_16_FeynmanCitationIntegrity.lean",
+      "file_sha": "3d9ff4ea",
+      "line": 65,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 215,
+      "name": "Lutar.Thesis.citation_nodup",
+      "kind": "lemma",
+      "file": "Lutar/Thesis/TH_V18_16_FeynmanCitationIntegrity.lean",
+      "file_sha": "3d9ff4ea",
+      "line": 78,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 216,
+      "name": "Lutar.Thesis.citation_nonempty",
+      "kind": "lemma",
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+      "file_sha": "3d9ff4ea",
+      "line": 88,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 217,
+      "name": "Lutar.Thresholds.quadratic_completion",
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+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 218,
+      "name": "Lutar.Thresholds.bm13901_quadratic",
+      "kind": "def",
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+      "file_sha": "9b1e524b",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 219,
+      "name": "Lutar.Topology.persistent_homology_chain",
+      "kind": "theorem",
+      "file": "Lutar/Topology/PersistentHomologyChain.lean",
+      "file_sha": "d4c01003",
+      "line": 78,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": [
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+      ]
+    },
+    {
+      "id": 220,
+      "name": "Lutar.Topology.betti_numbers",
+      "kind": "def",
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+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 221,
+      "name": "Lutar.Topology.homology_connected_components",
+      "kind": "theorem",
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+      "file_sha": "d4c01003",
+      "line": 100,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 222,
+      "name": "Lutar.Topology.filtration_monotone",
+      "kind": "lemma",
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+      "file_sha": "d4c01003",
+      "line": 120,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 223,
+      "name": "Lutar.Transduction.Receipt.contentId_preserved",
+      "kind": "theorem",
+      "file": "Lutar/Transduction/ReceiptInvariant.lean",
+      "file_sha": "3be26cdd",
+      "line": 35,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 224,
+      "name": "Lutar.Transduction.Receipt",
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+      "file": "Lutar/Transduction/ReceiptInvariant.lean",
+      "file_sha": "3be26cdd",
+      "line": 20,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 225,
+      "name": "Lutar.TwoWitness.kochen_specker_nchv_soundness",
+      "kind": "theorem",
+      "file": "Lutar/TwoWitness.lean",
+      "file_sha": "81aecef9",
+      "line": 85,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 226,
+      "name": "Lutar.TwoWitness.eighteen_vectors",
+      "kind": "def",
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+      "file_sha": "81aecef9",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 227,
+      "name": "Lutar.TwoWitness.nchv_contradiction",
+      "kind": "lemma",
+      "file": "Lutar/TwoWitness.lean",
+      "file_sha": "81aecef9",
+      "line": 105,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 228,
+      "name": "Lutar.TwoWitness.two_coloring_impossible",
+      "kind": "theorem",
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+      "line": 125,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 229,
+      "name": "Lutar.uniqueness",
+      "kind": "theorem",
+      "file": "Lutar/Uniqueness.lean",
+      "file_sha": "7329cfb3",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 230,
+      "name": "Lutar.uniqueness_aux",
+      "kind": "lemma",
+      "file": "Lutar/Uniqueness.lean",
+      "file_sha": "7329cfb3",
+      "line": 40,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 231,
+      "name": "Lutar.cauchy_multiplicative",
+      "kind": "lemma",
+      "file": "Lutar/Uniqueness.lean",
+      "file_sha": "7329cfb3",
+      "line": 70,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 232,
+      "name": "Lutar.Wheeler.SpanId",
+      "kind": "abbrev",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 48,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 233,
+      "name": "Lutar.Wheeler.Tick",
+      "kind": "abbrev",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 61,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 234,
+      "name": "Lutar.Wheeler.Span",
+      "kind": "structure",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 64,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 235,
+      "name": "Lutar.Wheeler.Receipt",
+      "kind": "structure",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 71,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 236,
+      "name": "Lutar.Wheeler.W",
+      "kind": "def",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 78,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 237,
+      "name": "Lutar.Wheeler.admissible",
+      "kind": "def",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 82,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 238,
+      "name": "Lutar.Wheeler.delayed_choice_idempotent",
+      "kind": "theorem",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 101,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 239,
+      "name": "Lutar.Wheeler.wheeler_window_safety",
+      "kind": "theorem",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 111,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 240,
+      "name": "Lutar.Wheeler.wheeler_window_admits_zero_offset",
+      "kind": "theorem",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 123,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 241,
+      "name": "Lutar.Wheeler.wheeler_window_admits_max_offset",
+      "kind": "theorem",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 133,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 242,
+      "name": "Lutar.Wheeler.early_receipt_rejected",
+      "kind": "theorem",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 144,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 243,
+      "name": "Lutar.Wheeler.wrong_span_rejected",
+      "kind": "theorem",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 153,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 244,
+      "name": "Lutar.Wheeler.closeLabel_is_function_of_admission",
+      "kind": "theorem",
+      "file": "Lutar/Wheeler/DelayedChoiceClosure.lean",
+      "file_sha": "63840f0b",
+      "line": 164,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 245,
+      "name": "main",
+      "kind": "def",
+      "file": "Main.lean",
+      "file_sha": "96e46f25",
+      "line": 10,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 246,
+      "name": "mainRef",
+      "kind": "def",
+      "file": "MainRef.lean",
+      "file_sha": "a7e99d34",
+      "line": 10,
+      "status": "GREEN",
+      "runtime_gate": "platform/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 247,
+      "name": "Lutar.ref_vector_parity",
+      "kind": "theorem",
+      "file": "RefVectors.lean",
+      "file_sha": "0f8189cc",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 248,
+      "name": "Lutar.reference_vectors",
+      "kind": "def",
+      "file": "RefVectors.lean",
+      "file_sha": "0f8189cc",
+      "line": 28,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 249,
+      "name": "Lutar.parity_within_ulp",
+      "kind": "lemma",
+      "file": "RefVectors.lean",
+      "file_sha": "0f8189cc",
+      "line": 62,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 250,
+      "name": "TH8.GLR.graded_linear_receipt_semiring",
+      "kind": "theorem",
+      "file": "TH8/lean_v2/GLR.lean",
+      "file_sha": "981b09cb",
+      "line": 120,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": [
+        "Mathlib.Algebra.GradedMonoid"
+      ]
+    },
+    {
+      "id": 251,
+      "name": "TH8.GLR.GradedReceipt",
+      "kind": "structure",
+      "file": "TH8/lean_v2/GLR.lean",
+      "file_sha": "981b09cb",
+      "line": 40,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 252,
+      "name": "TH8.GLR.grade_add",
+      "kind": "def",
+      "file": "TH8/lean_v2/GLR.lean",
+      "file_sha": "981b09cb",
+      "line": 60,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 253,
+      "name": "TH8.GLR.grade_mul",
+      "kind": "def",
+      "file": "TH8/lean_v2/GLR.lean",
+      "file_sha": "981b09cb",
+      "line": 75,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 254,
+      "name": "TH8.GLR.glr_semiring_laws",
+      "kind": "theorem",
+      "file": "TH8/lean_v2/GLR.lean",
+      "file_sha": "981b09cb",
+      "line": 145,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 255,
+      "name": "TH8.GradedSemiring.graded_semiring_valid",
+      "kind": "theorem",
+      "file": "TH8/lean_v2/GradedSemiring.lean",
+      "file_sha": "604370a8",
+      "line": 85,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 256,
+      "name": "TH8.GradedSemiring.TrustLevel",
+      "kind": "inductive",
+      "file": "TH8/lean_v2/GradedSemiring.lean",
+      "file_sha": "604370a8",
+      "line": 38,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 257,
+      "name": "TH8.GradedSemiring.trust_add",
+      "kind": "def",
+      "file": "TH8/lean_v2/GradedSemiring.lean",
+      "file_sha": "604370a8",
+      "line": 55,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 258,
+      "name": "TH8.GradedSemiring.graded_semiring_instance",
+      "kind": "instance",
+      "file": "TH8/lean_v2/GradedSemiring.lean",
+      "file_sha": "604370a8",
+      "line": 70,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 259,
+      "name": "TH8.LinearReceipt.linear_receipt_module",
+      "kind": "theorem",
+      "file": "TH8/lean_v2/LinearReceipt.lean",
+      "file_sha": "b2457982",
+      "line": 100,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 260,
+      "name": "TH8.LinearReceipt.LinearReceiptChain",
+      "kind": "structure",
+      "file": "TH8/lean_v2/LinearReceipt.lean",
+      "file_sha": "b2457982",
+      "line": 45,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 261,
+      "name": "TH8.LinearReceipt.module_add_assoc",
+      "kind": "lemma",
+      "file": "TH8/lean_v2/LinearReceipt.lean",
+      "file_sha": "b2457982",
+      "line": 120,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 262,
+      "name": "TH8.LinearReceipt.module_smul_distrib",
+      "kind": "lemma",
+      "file": "TH8/lean_v2/LinearReceipt.lean",
+      "file_sha": "b2457982",
+      "line": 140,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 263,
+      "name": "TH8.LinearReceipt.free_module_basis",
+      "kind": "theorem",
+      "file": "TH8/lean_v2/LinearReceipt.lean",
+      "file_sha": "b2457982",
+      "line": 160,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 264,
+      "name": "TH8.StrongMonadIdentity.monad_laws",
+      "kind": "theorem",
+      "file": "TH8/lean_v2/StrongMonadIdentity.lean",
+      "file_sha": "38d66b54",
+      "line": 88,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 265,
+      "name": "TH8.StrongMonadIdentity.ReceiptMonad",
+      "kind": "structure",
+      "file": "TH8/lean_v2/StrongMonadIdentity.lean",
+      "file_sha": "38d66b54",
+      "line": 42,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 266,
+      "name": "TH8.StrongMonadIdentity.monad_unit_left",
+      "kind": "lemma",
+      "file": "TH8/lean_v2/StrongMonadIdentity.lean",
+      "file_sha": "38d66b54",
+      "line": 105,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 267,
+      "name": "TH8.StrongMonadIdentity.monad_unit_right",
+      "kind": "lemma",
+      "file": "TH8/lean_v2/StrongMonadIdentity.lean",
+      "file_sha": "38d66b54",
+      "line": 118,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 268,
+      "name": "TH8.StrongMonadIdentity.monad_assoc",
+      "kind": "lemma",
+      "file": "TH8/lean_v2/StrongMonadIdentity.lean",
+      "file_sha": "38d66b54",
+      "line": 132,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
+      "axiom_deps": []
+    },
+    {
+      "id": 269,
+      "name": "lutar_lean",
+      "kind": "lean_lib",
+      "file": "lakefile.lean",
+      "file_sha": "8d90ded1",
+      "line": 5,
+      "status": "GREEN",
+      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
+      "axiom_deps": []
+    }
+  ]
+}