OAI/GroupTheory/SimpleAmenable/RandomFields/NoiseContinuity.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.SimpleAmenable.noiseTensor_continuous line 16
  2. theorem OAI.SimpleAmenable.noiseGradientCoordinate_continuous line 21
  3. theorem OAI.SimpleAmenable.affineNoiseGenerator_continuous_comp line 28
  4. theorem OAI.SimpleAmenable.affineNoiseRoot_continuous line 39
  5. theorem OAI.SimpleAmenable.matrix_inverse_measurable line 52
  6. theorem OAI.SimpleAmenable.matrix_inverse_continuousAt line 60
  7. def OAI.SimpleAmenable.matrixHSNorm line 73
  8. theorem OAI.SimpleAmenable.matrixHSNorm_nonneg line 76
  9. theorem OAI.SimpleAmenable.matrixHSNorm_sq line 79
  10. theorem OAI.SimpleAmenable.finiteL2Norm_matrix_mulVec line 83
  11. theorem OAI.SimpleAmenable.matrixHSNorm_inverse_contraction line 92
  12. def OAI.SimpleAmenable.covarianceSegment line 102
  13. theorem OAI.SimpleAmenable.covarianceSegment_posSemidef line 105
  14. theorem OAI.SimpleAmenable.covarianceSegment_affine line 110
  15. theorem OAI.SimpleAmenable.covarianceSegment_inverse_signal line 115
  16. theorem OAI.SimpleAmenable.square_integral_le_integral_square line 150
  17. theorem OAI.SimpleAmenable.unitInterval_probability line 168
  18. theorem OAI.SimpleAmenable.rootPath_energy_distance line 173