{
  "project": "ES_46_RV6",
  "tool": "Lean 4",
  "generated_on": "2026-09-22T22:54:46+00:00",
  "verdict": "COMPILA; TRADUCCION PARCIAL",
  "passed": false,
  "compiled": true,
  "execution_passed": true,
  "translation_coverage_complete": false,
  "refuted": false,
  "mathematical_status": "NO DETERMINADO",
  "verification_complete": false,
  "assessment_capability": "per_assertion_markers",
  "exit_code": 0,
  "failure_type": "cobertura_traduccion_parcial",
  "diagnosis": "Lean compilo el archivo generado sin errores. Hay formulas del Markdown no integradas o no traducidas; se detallan por nodo. La compilacion no juzga la verdad matematica.",
  "action_required": "Revisar primero la extraccion y la seleccion de cada formula pendiente; separar fallos del traductor de condiciones que el Markdown deja abiertas.",
  "lean_files": [
    "ES_46_RV6.lean"
  ],
  "result_theorem": null,
  "pending_result": "ES_46_RV6.Node_T_RIEMANN",
  "result_json_node": "T_RIEMANN",
  "log": "logs\\LEAN_ES_46_RV6.log",
  "scope": "Lean 4 solo certifica las definiciones, teoremas e inferencias formalizadas en los archivos Lean evaluados.",
  "adec": "Evaluacion manual; no automatizada hasta que ADEC admita url_json.",
  "formalization_status": "PARTIAL",
  "construction_complete": false,
  "proof_complete": false,
  "assertions": [
    {
      "id": "D_U",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_t_prime",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "A_L",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "D_lambda",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_L",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_k",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_rho",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "D_Rim",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "D_rho_R",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "D_f",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "D_fInv",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_COORD",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "T_ISO",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_ST",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_RHO_ISO",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_v",
      "construction_status": "AMBIGUA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_RIM_S",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_a",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_VED_Inv",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_VED_E",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_VED_I",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_VR_rho",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_VED_K_E",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_VR_E",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_VED_K_I",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_Z",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_VED_R_C",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "T_RIEMANN",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_VED_Completo",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_VS",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_F",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_F1",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "P_W",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_F2",
      "construction_status": "AMBIGUA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_F3",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    },
    {
      "id": "D_Lap",
      "construction_status": "INCOMPLETA",
      "proof_status": "NO_INICIADA"
    },
    {
      "id": "P_Lap_Z",
      "construction_status": "COMPLETA",
      "proof_status": "PENDIENTE"
    }
  ],
  "source_claims": [
    {
      "node": "D_rho",
      "formula": 2,
      "location": "ES_46_RV6.md:316:D_rho:formula-2",
      "source": "\\boxed{ 0\\le\\rho\\le\\frac12. }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "D_Rim",
      "formula": 4,
      "location": "ES_46_RV6.md:912:D_Rim:formula-4",
      "source": "\\boxed{ Z_{\\rm Rim}^{\\rm triv} = \\{-2,-4,-6,\\ldots\\} = \\{-2m:m\\in\\mathbb N^+\\}. }",
      "status": "UNTRANSLATED"
    },
    {
      "node": "D_rho_R",
      "formula": 3,
      "location": "ES_46_RV6.md:1003:D_rho_R:formula-3",
      "source": "\\boxed{ 0\\le\\rho_R<\\frac12, }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "D_rho_R",
      "formula": 4,
      "location": "ES_46_RV6.md:1003:D_rho_R:formula-4",
      "source": "\\boxed{ a = \\frac12+\\varepsilon\\rho_R. }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "D_rho_R",
      "formula": 5,
      "location": "ES_46_RV6.md:1003:D_rho_R:formula-5",
      "source": "\\boxed{ z_{\\varepsilon,\\pm} = \\frac12 + \\varepsilon\\rho_R \\pm ib. }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "D_rho_R",
      "formula": 6,
      "location": "ES_46_RV6.md:1003:D_rho_R:formula-6",
      "source": "\\boxed{ \\rho_R = \\left| \\Re(z)-\\frac12 \\right|. }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "D_fInv",
      "formula": 1,
      "location": "ES_46_RV6.md:1100:D_fInv:formula-1",
      "source": "\\boxed{ f^{-1}:U_{\\rm Rim}^{\\rho}\\longrightarrow U_{\\rm VED}^{\\rho}. }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "P_RIM_S",
      "formula": 2,
      "location": "ES_46_RV6.md:1169:P_RIM_S:formula-2",
      "source": "\\boxed{ z\\in Z_{\\rm Rim}^{\\rm nt} \\Longrightarrow \\operatorname{Stable}_{\\rm Rim}(z) \\Longrightarrow \\rho_R(z)=0. }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "P_VED_I",
      "formula": 2,
      "location": "ES_46_RV6.md:418:P_VED_I:formula-2",
      "source": "\\boxed{ \\rho=\\frac12 }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "P_VR_E",
      "formula": 2,
      "location": "ES_46_RV6.md:1312:P_VR_E:formula-2",
      "source": "\\boxed{ \\text{estado estable} \\iff a=\\frac12. }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "T_RIEMANN",
      "formula": 2,
      "location": "ES_46_RV6.md:1472:T_RIEMANN:formula-2",
      "source": "\\boxed{ a=\\frac12. }",
      "status": "FORMALIZED_UNPROVEN"
    },
    {
      "node": "P_VED_Completo",
      "formula": 2,
      "location": "ES_46_RV6.md:494:P_VED_Completo:formula-2",
      "source": "n\\to\\infty",
      "status": "UNTRANSLATED"
    },
    {
      "node": "P_VS",
      "formula": 3,
      "location": "ES_46_RV6.md:557:P_VS:formula-3",
      "source": "\\boxed{ \\lim_{n\\to\\infty}G(n)=0. }",
      "status": "UNTRANSLATED"
    },
    {
      "node": "P_W",
      "formula": 8,
      "location": "ES_46_RV6.md:639:P_W:formula-8",
      "source": "\\boxed{ dt'\\to0. }",
      "status": "UNTRANSLATED"
    },
    {
      "node": "D_Lap",
      "formula": 9,
      "location": "ES_46_RV6.md:764:D_Lap:formula-9",
      "source": "\\boxed{ Z_{\\rm VED\\to Lap} = \\left\\{ \\frac12 \\pm i\\frac{2\\pi}{k\\lambda} : k\\in\\mathbb N^+ \\right\\}. }",
      "status": "UNTRANSLATED"
    }
  ],
  "conditional_premises": [
    {
      "node": "P_RIM_S",
      "location": "ES_46_RV6.md:1169:P_RIM_S:formula-2",
      "source": "\\boxed{ z\\in Z_{\\rm Rim}^{\\rm nt} \\Longrightarrow \\operatorname{Stable}_{\\rm Rim}(z) \\Longrightarrow \\rho_R(z)=0. }",
      "diagnosis": "A -> (B -> C) no permite concluir C solo a partir de A: tambien hay que establecer B. Esta condicion no esta verificada."
    }
  ],
  "verified_json_nodes": []
}