OAI/InformationTheory/BooleanNoise/CurvatureBounds.lean

GitHub source file

15 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.LeanBlast.CourtadeKumar.curvatureModel line 17
  2. def OAI.LeanBlast.CourtadeKumar.smallCoarseBound line 20
  3. theorem OAI.LeanBlast.CourtadeKumar.smallCoarseBound_lt_ten_sevenths line 23
  4. theorem OAI.LeanBlast.CourtadeKumar.normalized_small_curvature_le line 44
  5. theorem OAI.LeanBlast.CourtadeKumar.curvatureModel_small_of_cubic_bounds line 70
  6. theorem OAI.LeanBlast.CourtadeKumar.curvatureModel_artanh_small line 95
  7. theorem OAI.LeanBlast.CourtadeKumar.rSecondDeriv_le_inv_ell line 101
  8. theorem OAI.LeanBlast.CourtadeKumar.entropy_curvature_bound line 118
  9. theorem OAI.LeanBlast.CourtadeKumar.inverseEntropy_curvature_bound line 124
  10. theorem OAI.LeanBlast.CourtadeKumar.L_curvature_bound line 131
  11. theorem OAI.LeanBlast.CourtadeKumar.LDeriv_curvature_bound line 136
  12. theorem OAI.LeanBlast.CourtadeKumar.hasDerivAt_deriv_L_of_lt line 141
  13. theorem OAI.LeanBlast.CourtadeKumar.L_second_deriv_bound line 148
  14. theorem OAI.LeanBlast.CourtadeKumar.hasDerivAt_deriv_r_of_pos line 153
  15. theorem OAI.LeanBlast.CourtadeKumar.r_second_deriv_bound line 160