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      "Komorebi.SpecialFunctions.Coupled.Scales.log_power_correction_tendsto",
      "Komorebi.SpecialFunctions.Coupled.Scales.lower_type_row",
      "Komorebi.SpecialFunctions.Coupled.Scales.upper_type_row",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_lower_type_superinvariant",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_upper_type_subinvariant",
      "Komorebi.SpecialFunctions.Coupled.Scales.positive_dot_rigidity",
      "Komorebi.SpecialFunctions.Coupled.Scales.left_eigenvector_preserves_dot",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_fixed_vectors",
      "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_fixed_proportion",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_proportions",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_positive_type_proportions",
      "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_fixed_ratios",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_ratios",
      "Komorebi.SpecialFunctions.Coupled.Scales.ordinary_type_limit_iff",
      "Komorebi.SpecialFunctions.Coupled.Scales.type_equality_iff_scalar_equality",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_limit_equivalence",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_type_limit_vector",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_maximum_type_proportions",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_maximum_type_limit_equivalence"
    ],
    "count": 26,
    "axioms": [
      "Classical.choice",
      "Quot.sound",
      "propext"
    ]
  },
  "CoupledScalarReduction_audit": {
    "names": [
      "Komorebi.SpecialFunctions.Coupled.Scales.positive_pair_from_product_and_square_sum",
      "Komorebi.SpecialFunctions.Coupled.Scales.equal_components_coefficients",
      "Komorebi.SpecialFunctions.Coupled.Scales.equal_components_product",
      "Komorebi.SpecialFunctions.Coupled.Scales.equal_components_square_sum",
      "Komorebi.SpecialFunctions.Coupled.Scales.equal_components_unordered_rows",
      "Komorebi.SpecialFunctions.Coupled.Scales.scalar_pair_solution",
      "Komorebi.SpecialFunctions.Coupled.Scales.unordered_rows_scalar_representation",
      "Komorebi.SpecialFunctions.Coupled.Scales.components_equal_iff_unordered_rows",
      "Komorebi.SpecialFunctions.Coupled.Scales.components_equal_iff_scale_pair_set",
      "Komorebi.SpecialFunctions.Coupled.Scales.characteristicExponent_eq_of_balance",
      "Komorebi.SpecialFunctions.Coupled.Scales.scalar_characteristic_balance_iff",
      "Komorebi.SpecialFunctions.Coupled.Scales.scalar_characteristic_order",
      "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_order_invariant",
      "Komorebi.SpecialFunctions.Coupled.Scales.complex_sinh_hasDerivAt",
      "Komorebi.SpecialFunctions.Coupled.Scales.sinh_half_derivative_identity",
      "Komorebi.SpecialFunctions.Coupled.Scales.scaled_sinh_half_equation",
      "Komorebi.SpecialFunctions.Coupled.Scales.halfScales_positive",
      "Komorebi.SpecialFunctions.Coupled.Scales.halfScales_strict",
      "Komorebi.SpecialFunctions.Coupled.Scales.scaled_sinh_half_solution",
      "Komorebi.SpecialFunctions.Coupled.Scales.sqrt_two_complex_square",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_half_sinh",
      "Komorebi.SpecialFunctions.Coupled.Scales.half_characteristic_order",
      "Komorebi.SpecialFunctions.Coupled.Scales.half_radial_order",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequalScales_positive",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequalScales_strict",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_characteristic_order",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_radial_order",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_normalized_vector",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_type_proportions",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_components_different",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_coefficients_through_seven",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_row_sums",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_lower_constants",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_explicit_lower_growth",
      "Komorebi.SpecialFunctions.Coupled.Scales.surface_cross_scale_contract",
      "Komorebi.SpecialFunctions.Coupled.Scales.order_surface_realization",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_oddSum",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_coefficient_majorant",
      "Komorebi.SpecialFunctions.Coupled.Scales.oddSum_truncation_eq_tail",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_complex_truncation_bound",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_four_term_remainder",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_degree_seven_polynomials",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_degree_seven_error"
    ],
    "count": 43,
    "axioms": [
      "Classical.choice",
      "Quot.sound",
      "propext"
    ]
  },
  "CoupledOperator_audit": {
    "names": [
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_iff_scalar_functional",
      "Komorebi.SpecialFunctions.Coupled.Scales.nodePolynomial_differentiable",
      "Komorebi.SpecialFunctions.Coupled.Scales.nodePolynomial_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.nodePolynomial_values",
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_scalar_fibers",
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_row_sum_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.nonzero_row_first_ne_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_scale_products",
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_ordered_rows",
      "Komorebi.SpecialFunctions.Coupled.Scales.ordered_rows_field_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.ordered_rows_autonomous",
      "Komorebi.SpecialFunctions.Coupled.Scales.zero_row_autonomous",
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_iff_zero_or_ordered",
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_nonzero_classification",
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_projected_field_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.no_nonzero_autonomous_if_rows_differ",
      "Komorebi.SpecialFunctions.Coupled.Scales.autonomous_matrix_det_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.no_invertible_constant_decoupling",
      "Komorebi.SpecialFunctions.Coupled.Scales.local_projection_analytic",
      "Komorebi.SpecialFunctions.Coupled.Scales.local_field_analytic",
      "Komorebi.SpecialFunctions.Coupled.Scales.local_field_respects_component_germs",
      "Komorebi.SpecialFunctions.Coupled.Scales.germ_autonomous_iff_scalar_functional",
      "Komorebi.SpecialFunctions.Coupled.Scales.entire_field_differentiable",
      "Komorebi.SpecialFunctions.Coupled.Scales.germ_autonomous_implies_entire",
      "Komorebi.SpecialFunctions.Coupled.Scales.germ_autonomous_iff_entire",
      "Komorebi.SpecialFunctions.Coupled.Scales.germ_autonomous_nonzero_classification",
      "Komorebi.SpecialFunctions.Coupled.Scales.no_invertible_constant_germ_decoupling"
    ],
    "count": 27,
    "axioms": [
      "Classical.choice",
      "Quot.sound",
      "propext"
    ]
  },
  "CoupledEvaluation_audit": {
    "names": [
      "Komorebi.SpecialFunctions.Coupled.Scales.component_real_hasSum",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_norm_summable",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_real_nonneg",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_real_mono",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_at_real",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_le_pairMax",
      "Komorebi.SpecialFunctions.Coupled.Scales.realPairMax_nonneg",
      "Komorebi.SpecialFunctions.Coupled.Scales.realPairMax_recurrence",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_coefficient_le_one",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_small_disk_bound",
      "Komorebi.SpecialFunctions.Coupled.Scales.pair_small_disk_bound",
      "Komorebi.SpecialFunctions.Coupled.Scales.diskMajorant_of_small",
      "Komorebi.SpecialFunctions.Coupled.Scales.pair_le_diskMajorant",
      "Komorebi.SpecialFunctions.Coupled.Scales.exists_diskMajorant_fuel",
      "Komorebi.SpecialFunctions.Coupled.Scales.component_disk_majorant",
      "Komorebi.SpecialFunctions.Coupled.Scales.disk_majorant_exists",
      "Komorebi.SpecialFunctions.Coupled.Scales.outer_power_comparison",
      "Komorebi.SpecialFunctions.Coupled.Scales.positive_odd_outer_remainder",
      "Komorebi.SpecialFunctions.Coupled.Scales.oddPolynomial_at_real",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_outer_remainder",
      "Komorebi.SpecialFunctions.Coupled.Scales.canonical_ladder_remainder",
      "Komorebi.SpecialFunctions.Coupled.Scales.real_polynomial_le_component",
      "Komorebi.SpecialFunctions.Coupled.Scales.real_evaluation_enclosure",
      "Komorebi.SpecialFunctions.Coupled.Scales.real_ladder_enclosure",
      "Komorebi.SpecialFunctions.Coupled.Scales.rationalDiskMajorant_cast",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_disk_majorant_sound",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_outer_remainder",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_real_enclosure",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_coefficients_cast",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_component_coefficient_cast",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_polynomial_cast",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_maxScale_cast",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_fuel_exists",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_endpoint_enclosure",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_last_thirty_tail_rational",
      "Komorebi.SpecialFunctions.Coupled.Scales.unequal_last_thirty_error"
    ],
    "count": 36,
    "axioms": [
      "Classical.choice",
      "Quot.sound",
      "propext"
    ]
  },
  "CoupledNormalization_audit": {
    "names": [
      "Komorebi.SpecialFunctions.Coupled.Scales.oddFactorial_ne_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.oddFactorial_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.oddFactorial_succ",
      "Komorebi.SpecialFunctions.Coupled.Scales.binomial_factorial_product",
      "Komorebi.SpecialFunctions.Coupled.Scales.binomial_factorial_quotient",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_succ",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_solution",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_solution_unique",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivativeRow_factorialScale",
      "Komorebi.SpecialFunctions.Coupled.Scales.factorial_scaled_coefficients_solution",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_factorial",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivativeNext_congr",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_array_eq",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_array_length",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_array_entry",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_component_factorial",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_component_normalized",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_normalized_cast",
      "Komorebi.SpecialFunctions.Coupled.Scales.ordinary_array_eq",
      "Komorebi.SpecialFunctions.Coupled.Scales.ordinary_array_length",
      "Komorebi.SpecialFunctions.Coupled.Scales.ordinary_array_entry",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_polynomial_eq",
      "Komorebi.SpecialFunctions.Coupled.Scales.array_polynomial_eq",
      "Komorebi.SpecialFunctions.Coupled.Scales.array_polynomial_cast",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_polynomial_cast",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_endpoint_enclosure",
      "Komorebi.SpecialFunctions.Coupled.Scales.array_endpoint_enclosure",
      "Komorebi.SpecialFunctions.Coupled.Scales.rational_derivatives_one",
      "Komorebi.SpecialFunctions.Coupled.Scales.derivative_normalization_first"
    ],
    "count": 30,
    "axioms": [
      "Classical.choice",
      "Quot.sound",
      "propext"
    ]
  },
  "CoupledGuardedMajorant_audit": {
    "names": [
      "Komorebi.SpecialFunctions.Coupled.Scales.ladder_terminal",
      "Komorebi.SpecialFunctions.Coupled.Scales.ladder_terminal_small",
      "Komorebi.SpecialFunctions.Coupled.Scales.ladder_adequate",
      "Komorebi.SpecialFunctions.Coupled.Scales.ladder_fold_eq",
      "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_ok",
      "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_of_trace",
      "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_ok_iff",
      "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_not_bits",
      "Komorebi.SpecialFunctions.Coupled.Scales.build_ladder_exists_of_adequate",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_fold_not_steps",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_fold_ok_iff",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_fold_bits_iff",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_success",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_small",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_zero",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_no_steps",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_disk_bound",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_endpoint_enclosure",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_step_failure",
      "Komorebi.SpecialFunctions.Coupled.Scales.guarded_majorant_bit_failure",
      "Komorebi.SpecialFunctions.Coupled.Scales.size_fits_iff",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_invalid_scales",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_negative_radius",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_zero_before_resources",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_invalid_steps",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_invalid_bits",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_valid_inputs",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_small_seed_unchecked",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_success_core",
      "Komorebi.SpecialFunctions.Coupled.Scales.checked_endpoint_enclosure"
    ],
    "count": 30,
    "axioms": [
      "Classical.choice",
      "Quot.sound",
      "propext"
    ]
  }
}
