OAI/Probability/SKRatio/Dynamics/GaussMoment.lean

GitHub source file

27 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SKRatioClock.Clock.gaussMoment line 16
  2. lemma OAI.SKRatioClock.Clock.integrable_gaussMoment line 19
  3. lemma OAI.SKRatioClock.Clock.hasDerivAt_gaussMoment line 27
  4. lemma OAI.SKRatioClock.Clock.integrable_abs_add_one_pow_gauss line 35
  5. def OAI.SKRatioClock.Clock.momentEnvelope line 50
  6. lemma OAI.SKRatioClock.Clock.integrable_momentEnvelope line 53
  7. lemma OAI.SKRatioClock.Clock.gaussMoment_deriv_bound line 63
  8. def OAI.SKRatioClock.Clock.diffMoment line 98
  9. lemma OAI.SKRatioClock.Clock.diffMoment_bound line 101
  10. lemma OAI.SKRatioClock.Clock.integrable_diffMoment line 117
  11. lemma OAI.SKRatioClock.Clock.gaussMoment_derivative_L1 line 122
  12. def OAI.SKRatioClock.Clock.momentL1 line 156
  13. lemma OAI.SKRatioClock.Clock.norm_toL1_real line 160
  14. lemma OAI.SKRatioClock.Clock.momentL1_derivative line 166
  15. lemma OAI.SKRatioClock.Clock.momentL1_mem_of_gaussian line 198
  16. def OAI.SKRatioClock.Clock.gaussianTaylor line 222
  17. lemma OAI.SKRatioClock.Clock.gaussianTaylor_eq line 225
  18. lemma OAI.SKRatioClock.Clock.gaussianTaylor_bound line 235
  19. lemma OAI.SKRatioClock.Clock.integrable_gaussianTaylor line 254
  20. lemma OAI.SKRatioClock.Clock.gaussianTaylor_tendsto line 258
  21. lemma OAI.SKRatioClock.Clock.gaussianTaylor_L1 line 265
  22. lemma OAI.SKRatioClock.Clock.toL1_finsetSum line 287
  23. lemma OAI.SKRatioClock.Clock.toL1_tendsto_of_integral_abs_sub line 303
  24. lemma OAI.SKRatioClock.Clock.gaussian_increment_mem line 313
  25. lemma OAI.SKRatioClock.Clock.gaussian_wider_precision_mem line 340
  26. lemma OAI.SKRatioClock.Clock.gaussian_mem_closed_span line 367
  27. theorem OAI.SKRatioClock.Clock.finite_gaussian_approximation line 374