{
  "source": "lean/CoupledCharacteristic.lean",
  "sha256": "bba339b502ee9582dda88e226d3544e367cfce8a6153e14345d6c8e86a62eb84",
  "count": 23,
  "declarations": [
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristicBalance_zero",
      "line": 27
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.rpow_contraction_bounds",
      "line": 30
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristicBalance_continuous",
      "line": 35
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristicBalance_strictMono",
      "line": 41
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristicBalance_tendsto",
      "line": 63
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_exponent_exists_unique",
      "line": 77
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristicExponent_spec",
      "line": 103
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristicVector_positive",
      "line": 127
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristicLeftVector_positive",
      "line": 134
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_right_eigenvector",
      "line": 141
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_left_eigenvector",
      "line": 150
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristicNormalizer_positive",
      "line": 159
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.normalizedCharacteristicVector_positive",
      "line": 163
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.normalizedCharacteristicVector_max",
      "line": 169
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.normalized_characteristic_eigenvector",
      "line": 177
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_second_eigenvalue_bound",
      "line": 183
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_spectrum",
      "line": 191
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_spectralRadius",
      "line": 207
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_mem_spectrum_iff",
      "line": 227
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_spectrum_real",
      "line": 234
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_spectrum_norm_attained",
      "line": 251
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_spectralRadius_iff",
      "line": 267
    },
    {
      "name": "Komorebi.SpecialFunctions.Coupled.Scales.characteristic_spectral_exponent_exists_unique",
      "line": 303
    }
  ]
}