data/lean_theorem_tree.json

{
  "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"
  },
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    {
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    {
      "id": 9,
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      ]
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      "id": 15,
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      "name": "Lutar.Brahmi.brahmi_axis_option_zero",
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    {
      "id": 17,
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    {
      "id": 20,
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      "file": "Lutar/Composition/AdversarialRobustness.lean",
      "file_sha": "a96e448f",
      "line": 65,
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    {
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      "axiom_deps": []
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    {
      "id": 23,
      "name": "Lutar.Composition.Robustness.epsilon_bound_composed",
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      "file": "Lutar/Composition/AdversarialRobustness.lean",
      "file_sha": "a96e448f",
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    {
      "id": 24,
      "name": "Lutar.Composition.composition_overhead_bound",
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      "file": "Lutar/Composition/CompositionOverhead.lean",
      "file_sha": "2370c49c",
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      "status": "GREEN",
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      "axiom_deps": []
    },
    {
      "id": 25,
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    },
    {
      "id": 26,
      "name": "Lutar.Composition.r1_tests_pass",
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      "line": 55,
      "status": "GREEN",
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    {
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      "line": 35,
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    {
      "id": 28,
      "name": "Lutar.Composition.TH1_composition_master",
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      "file": "Lutar/Composition/TH1_Composition.lean",
      "file_sha": "eff9a1a7",
      "line": 80,
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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    },
    {
      "id": 29,
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      "file": "Lutar/Composition/TH1_Composition.lean",
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    },
    {
      "id": 30,
      "name": "Lutar.Composition.compose_monotone",
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 31,
      "name": "Lutar.Composition.compose_bounded",
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      "file": "Lutar/Composition/TH1_Composition.lean",
      "file_sha": "eff9a1a7",
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      "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": [
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      ]
    },
    {
      "id": 33,
      "name": "Lutar.Correlator.ReceiptCorrelator",
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      "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,
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      "line": 95,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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    },
    {
      "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",
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      ]
    },
    {
      "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",
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      "file": "Lutar/DPI/DPIBound.lean",
      "file_sha": "b94d1be2",
      "line": 68,
      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
      "axiom_deps": [
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      ]
    },
    {
      "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",
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      "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",
      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
      "axiom_deps": []
    },
    {
      "id": 50,
      "name": "Lutar.DPI.scitt_mask_entropy_bound",
      "kind": "theorem",
      "file": "Lutar/DPI/SCITTMaskEntropy.lean",
      "file_sha": "0ccbcaea",
      "line": 55,
      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
      "axiom_deps": [
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    },
    {
      "id": 51,
      "name": "Lutar.DPI.scitt_receipt_mask",
      "kind": "def",
      "file": "Lutar/DPI/SCITTMaskEntropy.lean",
      "file_sha": "0ccbcaea",
      "line": 38,
      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
      "axiom_deps": []
    },
    {
      "id": 52,
      "name": "Lutar.DPI.mask_entropy_lower_bound",
      "kind": "lemma",
      "file": "Lutar/DPI/SCITTMaskEntropy.lean",
      "file_sha": "0ccbcaea",
      "line": 70,
      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
      "axiom_deps": []
    },
    {
      "id": 53,
      "name": "Lutar.DPI.TH6_dpi_soundness",
      "kind": "theorem",
      "file": "Lutar/DPI/TH6_DPI_Soundness.lean",
      "file_sha": "74fbdc7e",
      "line": 75,
      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
      "axiom_deps": []
    },
    {
      "id": 54,
      "name": "Lutar.DPI.receipt_chain_entropy_bound",
      "kind": "lemma",
      "file": "Lutar/DPI/TH6_DPI_Soundness.lean",
      "file_sha": "74fbdc7e",
      "line": 55,
      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
      "axiom_deps": []
    },
    {
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      "name": "Lutar.DPI.dpi_chain_monotone",
      "kind": "theorem",
      "file": "Lutar/DPI/TH6_DPI_Soundness.lean",
      "file_sha": "74fbdc7e",
      "line": 90,
      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/dpi-bound.ts",
      "axiom_deps": []
    },
    {
      "id": 56,
      "name": "Lutar.\u039bGateLID_DPO_stability",
      "kind": "theorem",
      "file": "Lutar/DPOFeasibility.lean",
      "file_sha": "7fbbea92",
      "line": 120,
      "status": "TRACKED",
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      "file_sha": "0338b132",
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      "kind": "def",
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    {
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    },
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      "id": 91,
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      "id": 96,
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    {
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      "id": 98,
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      "id": 99,
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      "id": 104,
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    {
      "id": 105,
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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    {
      "id": 106,
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      "line": 50,
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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      "id": 107,
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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      "line": 68,
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    {
      "id": 109,
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      "id": 110,
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      "line": 48,
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      "id": 111,
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      "id": 112,
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      "id": 113,
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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      "id": 114,
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      "line": 35,
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      "runtime_gate": "platform/src/receipts/khipu-checksum.ts",
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    {
      "id": 115,
      "name": "Lutar.Khipu.khipuReceipt_checksum_invariant",
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      "axiom_deps": []
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    {
      "id": 122,
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      "file_sha": "8a5cd53f",
      "line": 28,
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 123,
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      "line": 35,
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
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      "id": 124,
      "name": "Lutar.Lambda.composition_ring",
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      "file": "Lutar/Lambda/CompositionRing.lean",
      "file_sha": "608c079c",
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      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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    {
      "id": 125,
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      "file_sha": "608c079c",
      "line": 35,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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      "id": 126,
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      "file": "Lutar/Lambda/SchurConcave.lean",
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      "line": 75,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": [
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    },
    {
      "id": 127,
      "name": "Lutar.Lambda.majorization_order",
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      "line": 40,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 128,
      "name": "Lutar.Lambda.schur_concave_geometric_mean",
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      "file_sha": "2a4be7dd",
      "line": 95,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
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      "id": 129,
      "name": "Lutar.OVERWATCH.readOnly_does_not_mutate",
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      "file": "Lutar/OVERWATCH/ReadOnly.lean",
      "file_sha": "40d9e0fa",
      "line": 75,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 130,
      "name": "Lutar.OVERWATCH.ReceiptState",
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      "file": "Lutar/OVERWATCH/ReadOnly.lean",
      "file_sha": "40d9e0fa",
      "line": 38,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 131,
      "name": "Lutar.OVERWATCH.observe",
      "kind": "def",
      "file": "Lutar/OVERWATCH/ReadOnly.lean",
      "file_sha": "40d9e0fa",
      "line": 50,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 132,
      "name": "Lutar.OVERWATCH.observation_idempotent",
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      "file": "Lutar/OVERWATCH/ReadOnly.lean",
      "file_sha": "40d9e0fa",
      "line": 90,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 133,
      "name": "Lutar.pacBayesBound_mono_kl",
      "kind": "theorem",
      "file": "Lutar/PACBayes.lean",
      "file_sha": "7f1f02d9",
      "line": 80,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 134,
      "name": "Lutar.pacBayes_inequality_form",
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      "line": 100,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 135,
      "name": "Lutar.pacBayesBound_nonvacuous_iff",
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      "line": 120,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 136,
      "name": "Lutar.governanceHead_PACBayes_bound",
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      "line": 140,
      "status": "TRACKED",
      "runtime_gate": "a11oy-core/src/governance/pac-bayes-gate.ts",
      "axiom_deps": [
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    },
    {
      "id": 137,
      "name": "Lutar.pacBayes_sample_complexity",
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      "line": 160,
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      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 138,
      "name": "Lutar.kl_divergence_nonneg",
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      "line": 175,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 139,
      "name": "Lutar.PACBayes.madhava_bound",
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      "file": "Lutar/PACBayes/MadhavaBound.lean",
      "file_sha": "c8c07dc9",
      "line": 48,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/pac-bayes-gate.ts",
      "axiom_deps": [
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    },
    {
      "id": 140,
      "name": "Lutar.PACBayes.alternating_series_remainder",
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      "file": "Lutar/PACBayes/MadhavaBound.lean",
      "file_sha": "c8c07dc9",
      "line": 62,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/pac-bayes-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 141,
      "name": "Lutar.PACBayes.madhava_arctan_case",
      "kind": "corollary",
      "file": "Lutar/PACBayes/MadhavaBound.lean",
      "file_sha": "c8c07dc9",
      "line": 78,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/pac-bayes-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 142,
      "name": "Lutar.PRNG.k10v2_replay_root",
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      "file": "Lutar/PRNG/K10v2_ReplayRoot.lean",
      "file_sha": "ac9749f4",
      "line": 65,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 143,
      "name": "Lutar.PRNG.K10v2State",
      "kind": "structure",
      "file": "Lutar/PRNG/K10v2_ReplayRoot.lean",
      "file_sha": "ac9749f4",
      "line": 38,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 144,
      "name": "Lutar.PRNG.replay_deterministic",
      "kind": "theorem",
      "file": "Lutar/PRNG/K10v2_ReplayRoot.lean",
      "file_sha": "ac9749f4",
      "line": 82,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 145,
      "name": "Lutar.position_aware_gate",
      "kind": "theorem",
      "file": "Lutar/PositionAware.lean",
      "file_sha": "1896d763",
      "line": 75,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 146,
      "name": "Lutar.PositionWeight",
      "kind": "def",
      "file": "Lutar/PositionAware.lean",
      "file_sha": "1896d763",
      "line": 40,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 147,
      "name": "Lutar.position_weight_sum_one",
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      "file": "Lutar/PositionAware.lean",
      "file_sha": "1896d763",
      "line": 55,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 148,
      "name": "Lutar.Precision.sexagesimal_regular",
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      "file": "Lutar/Precision/SexagesimalRegular.lean",
      "file_sha": "032996c8",
      "line": 48,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 149,
      "name": "Lutar.Precision.is_regular_60",
      "kind": "def",
      "file": "Lutar/Precision/SexagesimalRegular.lean",
      "file_sha": "032996c8",
      "line": 28,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 150,
      "name": "Lutar.Propagation.relay_chain_preserves",
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      "file": "Lutar/Propagation/RelayChain.lean",
      "file_sha": "0dd40c20",
      "line": 55,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 151,
      "name": "Lutar.Propagation.RelayStation",
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      "file": "Lutar/Propagation/RelayChain.lean",
      "file_sha": "0dd40c20",
      "line": 32,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 152,
      "name": "Lutar.QEC.css_bridge_valid",
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      "file": "Lutar/QEC/CSSBridge.lean",
      "file_sha": "a4fe9cd5",
      "line": 55,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 153,
      "name": "Lutar.QEC.css_code",
      "kind": "structure",
      "file": "Lutar/QEC/CSSBridge.lean",
      "file_sha": "a4fe9cd5",
      "line": 35,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 154,
      "name": "Lutar.QEC.hamming_triangle_inequality",
      "kind": "theorem",
      "file": "Lutar/QEC/HammingFoundations.lean",
      "file_sha": "22740979",
      "line": 48,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 155,
      "name": "Lutar.QEC.hamming_distance",
      "kind": "def",
      "file": "Lutar/QEC/HammingFoundations.lean",
      "file_sha": "22740979",
      "line": 28,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 156,
      "name": "Lutar.QEC.sphere_packing_bound",
      "kind": "theorem",
      "file": "Lutar/QEC/HammingFoundations.lean",
      "file_sha": "22740979",
      "line": 62,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 157,
      "name": "Lutar.QEC.kitaev_surface_distance",
      "kind": "theorem",
      "file": "Lutar/QEC/KitaevSurface.lean",
      "file_sha": "1229ca44",
      "line": 65,
      "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": [
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      ]
    },
    {
      "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",
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      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
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    },
    {
      "id": 174,
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      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
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    },
    {
      "id": 175,
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      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
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    },
    {
      "id": 176,
      "name": "Lutar.Shannon.doctrine_uniform_code_length_2_bits",
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      "line": 140,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/doctrine-entropy.ts",
      "axiom_deps": []
    },
    {
      "id": 177,
      "name": "Lutar.Shannon.channel_rate_bound",
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      "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",
      "axiom_deps": []
    },
    {
      "id": 210,
      "name": "Lutar.Thesis.multiagent_fairness_terminates",
      "kind": "theorem",
      "file": "Lutar/Thesis/TH_V18_15_MultiAgentFairness.lean",
      "file_sha": "16e879a1",
      "line": 68,
      "status": "GREEN",
      "runtime_gate": "platform/src/agent/loop-termination-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 211,
      "name": "Lutar.Thesis.Agent",
      "kind": "structure",
      "file": "Lutar/Thesis/TH_V18_15_MultiAgentFairness.lean",
      "file_sha": "16e879a1",
      "line": 38,
      "status": "GREEN",
      "runtime_gate": "platform/src/agent/loop-termination-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 212,
      "name": "Lutar.Thesis.fuel_decreases",
      "kind": "lemma",
      "file": "Lutar/Thesis/TH_V18_15_MultiAgentFairness.lean",
      "file_sha": "16e879a1",
      "line": 80,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 213,
      "name": "Lutar.Thesis.system_liveness",
      "kind": "theorem",
      "file": "Lutar/Thesis/TH_V18_15_MultiAgentFairness.lean",
      "file_sha": "16e879a1",
      "line": 95,
      "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",
      "file": "Lutar/Thesis/TH_V18_16_FeynmanCitationIntegrity.lean",
      "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",
      "kind": "theorem",
      "file": "Lutar/Thresholds/QuadraticCompletion.lean",
      "file_sha": "9b1e524b",
      "line": 55,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
      "axiom_deps": []
    },
    {
      "id": 218,
      "name": "Lutar.Thresholds.bm13901_quadratic",
      "kind": "def",
      "file": "Lutar/Thresholds/QuadraticCompletion.lean",
      "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": [
        "Mathlib.AlgebraicTopology.SimplicialObject"
      ]
    },
    {
      "id": 220,
      "name": "Lutar.Topology.betti_numbers",
      "kind": "def",
      "file": "Lutar/Topology/PersistentHomologyChain.lean",
      "file_sha": "d4c01003",
      "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",
      "file": "Lutar/Topology/PersistentHomologyChain.lean",
      "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",
      "file": "Lutar/Topology/PersistentHomologyChain.lean",
      "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",
      "kind": "structure",
      "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",
      "file": "Lutar/TwoWitness.lean",
      "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",
      "file": "Lutar/TwoWitness.lean",
      "file_sha": "81aecef9",
      "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",
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      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
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      "id": 233,
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      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
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      "id": 236,
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      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
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      "id": 237,
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      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
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      "id": 238,
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      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
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      "id": 239,
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      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
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      "id": 240,
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      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
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      "id": 241,
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      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
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      "id": 242,
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      "file_sha": "63840f0b",
      "line": 144,
      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
      "axiom_deps": []
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      "id": 243,
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      "file_sha": "63840f0b",
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      "status": "GREEN",
      "runtime_gate": "platform/src/receipts/delayed-choice-gate.ts",
      "axiom_deps": []
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    {
      "id": 244,
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      "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",
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      "line": 45,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/governance/lambda-gate.ts",
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    },
    {
      "id": 248,
      "name": "Lutar.reference_vectors",
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    {
      "id": 249,
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      "axiom_deps": []
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    {
      "id": 250,
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      "line": 120,
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      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
      "axiom_deps": [
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    },
    {
      "id": 251,
      "name": "TH8.GLR.GradedReceipt",
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      "file": "TH8/lean_v2/GLR.lean",
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      "line": 40,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
      "axiom_deps": []
    },
    {
      "id": 252,
      "name": "TH8.GLR.grade_add",
      "kind": "def",
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      "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",
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      "file_sha": "981b09cb",
      "line": 75,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
      "axiom_deps": []
    },
    {
      "id": 254,
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      "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,
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      "file_sha": "604370a8",
      "line": 85,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
      "axiom_deps": []
    },
    {
      "id": 256,
      "name": "TH8.GradedSemiring.TrustLevel",
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      "file_sha": "604370a8",
      "line": 38,
      "status": "GREEN",
      "runtime_gate": "a11oy-core/src/receipts/graded-linear.ts",
      "axiom_deps": []
    },
    {
      "id": 257,
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      "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",
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      "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,
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      "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,
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      "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,
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      "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",
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      "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": []
    }
  ]
}