{
  "project": "ES_46_RV6",
  "tool": "Lean 4",
  "generated_on": "2026-09-26T14:33:46+00:00",
  "verdict": "DEMOSTRACION FALLIDA",
  "passed": false,
  "compiled": false,
  "execution_passed": false,
  "translation_coverage_complete": true,
  "refuted": false,
  "mathematical_status": "NO DETERMINADO",
  "verification_complete": false,
  "assessment_capability": "per_assertion_markers",
  "exit_code": 1,
  "failure_type": "demostracion_fallida",
  "diagnosis": "Lean rechazo al menos un intento concreto de demostracion. Esto invalida ese intento, no refuta por si solo la aseveracion.",
  "action_required": "Corregir el paso de prueba indicado por Lean y volver a evaluarlo.",
  "lean_files": [
    "ES_46_RV6.lean"
  ],
  "result_theorem": null,
  "pending_result": "ES_46_RV6.derive_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": true,
  "proof_complete": false,
  "assertions": [
    {
      "id": "D_U",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_t_prime",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "A_L",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "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": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "A_7",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_Rim",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_rho_R",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_f",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "D_fInv",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "P_COORD",
      "construction_status": "DOCUMENTAL",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "T_ISO",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_ST",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_RHO_ISO",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_v",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_ST_2",
      "construction_status": "COMPLETA",
      "proof_status": "VERIFICADA_ESTRUCTURAL"
    },
    {
      "id": "P_RIM_S",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_a",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VED_Inv",
      "construction_status": "DOCUMENTAL",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "P_VED_E",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VED_I",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VED_E_2",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VR_rho",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VED_K_E",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VR_E",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VED_K_I",
      "construction_status": "DOCUMENTAL",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "P_VED_K_E_2",
      "construction_status": "DOCUMENTAL",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "P_Z",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VED_R_C",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "T_RIEMANN",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VED_Completo",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VS",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_VED_Completo_2",
      "construction_status": "DOCUMENTAL",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "P_F",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_F1",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_W",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_F1_2",
      "construction_status": "DOCUMENTAL",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "P_F2",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_F3",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "D_Lap",
      "construction_status": "COMPLETA",
      "proof_status": "NO_APLICA"
    },
    {
      "id": "P_F3_2",
      "construction_status": "COMPLETA",
      "proof_status": "VERIFICADA_ESTRUCTURAL"
    },
    {
      "id": "P_Lap_Z",
      "construction_status": "COMPLETA",
      "proof_status": "TEOREMA_EMITIDO"
    },
    {
      "id": "P_Lap_Z_2",
      "construction_status": "COMPLETA",
      "proof_status": "VERIFICADA_ESTRUCTURAL"
    }
  ],
  "source_claims": [
    {
      "node": "T_ISO",
      "formula": 1,
      "location": "ES_46_RV6.md:1118:T_ISO:formula-1",
      "source": "\\boxed{ U_{\\rm VED}^{\\rho}\\cong U_{\\rm Rim}^{\\rho}. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_ST",
      "formula": 1,
      "location": "ES_46_RV6.md:114:P_ST:formula-1",
      "source": "\\qquad ds^2=dt^2-dt'^2. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_RHO_ISO",
      "formula": 1,
      "location": "ES_46_RV6.md:1133:P_RHO_ISO:formula-1",
      "source": "\\boxed{ \\rho_R(f(x))=\\rho_{\\rm VED}(x), \\qquad \\rho_{\\rm VED}(f^{-1}(z))=\\rho_R(z). }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_v",
      "formula": 1,
      "location": "ES_46_RV6.md:138:P_v:formula-1",
      "source": "\\qquad \\frac{ds}{dt}=v. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_ST_2",
      "formula": 1,
      "location": "ES_46_RV6.md:592:P_ST_2:formula-1",
      "source": "\\qquad ds^2=dt^2-dt'^2.",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_RIM_S",
      "formula": 1,
      "location": "ES_46_RV6.md:1169:P_RIM_S:formula-1",
      "source": "\\boxed{ \\forall z\\in U_{\\rm Rim}, \\qquad \\operatorname{Stable}_{\\rm Rim}(z) \\iff \\rho_R(z)=0. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_a",
      "formula": 1,
      "location": "ES_46_RV6.md:154:P_a:formula-1",
      "source": "\\qquad \\frac{d^2s}{dt^2} = \\frac{dv}{dt} = a. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VED_E",
      "formula": 1,
      "location": "ES_46_RV6.md:394:P_VED_E:formula-1",
      "source": "\\qquad \\rho=0 \\iff n=k\\in\\mathbb N^+ \\iff L=k\\lambda \\iff \\text{cierre exacto en fase} \\iff \\text{estado estable}. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VED_I",
      "formula": 1,
      "location": "ES_46_RV6.md:418:P_VED_I:formula-1",
      "source": "\\qquad 0<\\rho\\le\\frac12 \\iff \\text{cierre no estable}. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VED_E_2",
      "formula": 1,
      "location": "ES_46_RV6.md:866:P_VED_E_2:formula-1",
      "source": "\\quad \\rho=0 \\iff \\text{estado estable}.",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VR_rho",
      "formula": 1,
      "location": "ES_46_RV6.md:1272:P_VR_rho:formula-1",
      "source": "\\qquad \\rho_{\\rm VED} = \\rho_R = \\left| a-\\frac12 \\right|. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VED_K_E",
      "formula": 1,
      "location": "ES_46_RV6.md:462:P_VED_K_E:formula-1",
      "source": "\\boxed{ \\mathcal E_{\\rm VED} = \\{(k,0):k\\in\\mathbb N^+\\}. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VR_E",
      "formula": 1,
      "location": "ES_46_RV6.md:1312:P_VR_E:formula-1",
      "source": "\\qquad \\text{estado estable} \\iff \\left| a-\\frac12 \\right| = 0. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_Z",
      "formula": 1,
      "location": "ES_46_RV6.md:1454:P_Z:formula-1",
      "source": "\\qquad z\\in Z_{\\rm Rim}^{\\rm nt} \\Rightarrow \\left[ \\zeta(z)=0 \\ \\text{en }U_{\\rm Rim} \\ \\text{y } \\rho_R=\\rho_{\\rm VED} \\ \\text{clasifica su localización transversal} \\right]. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VED_R_C",
      "formula": 1,
      "location": "ES_46_RV6.md:482:P_VED_R_C:formula-1",
      "source": "0\\le\\rho\\le\\frac12",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "T_RIEMANN",
      "formula": 14,
      "location": "ES_46_RV6.md:1472:T_RIEMANN:formula-14",
      "source": "\\boxed{ \\forall z\\in Z_{\\rm Rim}^{\\rm nt}, \\qquad \\Re(z)=\\frac12. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VED_Completo",
      "formula": 1,
      "location": "ES_46_RV6.md:494:P_VED_Completo:formula-1",
      "source": "\\quad U_{\\rm VED}^{\\rm cerrado} = \\mathcal E_{\\rm VED} \\sqcup \\mathcal I_{\\rm VED}, }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_VS",
      "formula": 1,
      "location": "ES_46_RV6.md:557:P_VS:formula-1",
      "source": "\\qquad U_{\\rm VED}\\cong U_{\\rm Sch}. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_F",
      "formula": 1,
      "location": "ES_46_RV6.md:601:P_F:formula-1",
      "source": "\\qquad F = (dt^2-dt'^2) + \\frac{d}{dt}(dt^2-dt'^2). }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_F1",
      "formula": 1,
      "location": "ES_46_RV6.md:617:P_F1:formula-1",
      "source": "\\qquad F = dt^2-dt'^2 + 2dt - 2dt'\\frac{dt'}{dt}. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_W",
      "formula": 1,
      "location": "ES_46_RV6.md:639:P_W:formula-1",
      "source": "\\qquad v_{\\rm onda}=c. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_F2",
      "formula": 1,
      "location": "ES_46_RV6.md:712:P_F2:formula-1",
      "source": "\\qquad F=dt^2+2dt. }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_F3",
      "formula": 1,
      "location": "ES_46_RV6.md:733:P_F3:formula-1",
      "source": "\\qquad F = 2dt \\left( 1+\\frac12dt \\right). }",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_F3_2",
      "formula": 1,
      "location": "ES_46_RV6.md:888:P_F3_2:formula-1",
      "source": "\\quad F = 2dt \\left( 1+\\frac12dt \\right).",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_Lap_Z",
      "formula": 1,
      "location": "ES_46_RV6.md:851:P_Lap_Z:formula-1",
      "source": "\\Re(s)=\\frac12.",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    },
    {
      "node": "P_Lap_Z_2",
      "formula": 1,
      "location": "ES_46_RV6.md:899:P_Lap_Z_2:formula-1",
      "source": "\\quad Z_{\\rm VED\\to Lap} \\subset \\{s:\\Re(s)=1/2\\}.",
      "status": "FORMALIZED_UNPROVEN",
      "type": "Prop",
      "role": "CLAIM"
    }
  ],
  "evidence_traces": [
    {
      "node": "T_ISO",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 1118,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 475,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_ST",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 114,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 525,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_RHO_ISO",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 1133,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 546,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_v",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 138,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 578,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_ST_2",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 592,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 598,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_RIM_S",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 1169,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 618,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_a",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 154,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 654,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_VED_E",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 394,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 696,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_VED_I",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 418,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 715,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_VED_E_2",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 866,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 731,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
      "node": "P_VR_rho",
      "formula": 1,
      "status": "FORMALIZED_UNPROVEN",
      "source_file": "ES_46_RV6.md",
      "source_line": 1272,
      "lean_file": "ES_46_RV6.lean",
      "lean_line": 743,
      "compiler_log": "LEAN_ES_46_RV6.log",
      "responsibility": "prueba_no_certificada",
      "module_to_inspect": "DEMUESTRA/publica.py",
      "note": "La formula se represento por separado, sin prueba certificada."
    },
    {
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