OAI/Probability/SKFluctuations/ScalarGapFourth.lean

GitHub source file

43 declarations, 0 contain sorry, 0 declared as axioms

Scalar Gap Fourth.

  1. def OAI.SKFluctuations.Hierarchy.HeatJet.thirdTest0 line 19
  2. def OAI.SKFluctuations.Hierarchy.HeatJet.thirdTest1 line 22
  3. def OAI.SKFluctuations.Hierarchy.HeatJet.thirdTest2 line 25
  4. def OAI.SKFluctuations.Hierarchy.HeatJet.thirdTimeTest line 28
  5. theorem OAI.SKFluctuations.Hierarchy.ScalarGapFourth_thirdTest0_smooth line 35
  6. theorem OAI.SKFluctuations.Hierarchy.ScalarGapFourth_thirdTest1_smooth line 41
  7. theorem OAI.SKFluctuations.Hierarchy.ScalarGapFourth_thirdTest2_smooth line 47
  8. theorem OAI.SKFluctuations.Hierarchy.ScalarGapFourth_thirdTimeTest_smooth line 53
  9. def OAI.SKFluctuations.Hierarchy.HeatJet.thirdJet line 59
  10. def OAI.SKFluctuations.Hierarchy.HeatJet.thirdFamily line 80
  11. theorem OAI.SKFluctuations.Hierarchy.ScalarGapFourth_thirdTimeTest_continuous line 106
  12. theorem OAI.SKFluctuations.Hierarchy.ScalarGapFourth_thirdTimeTest_bounded line 110
  13. def OAI.SKFluctuations.Hierarchy.HeatJet.scalarGapFourth line 114
  14. theorem OAI.SKFluctuations.Hierarchy.HeatJet.hasDerivAt_scalarGapThird line 118
  15. theorem OAI.SKFluctuations.Hierarchy.HeatJet.scalarGapFourth_bound line 141
  16. theorem OAI.SKFluctuations.Hierarchy.HeatJet.scalarGapThird_bddSmooth line 163
  17. def OAI.SKFluctuations.Hierarchy.HeatJet.profileGapThirdJet line 170
  18. theorem OAI.SKFluctuations.Hierarchy.HeatJet.profileGapThirdJet_F line 173
  19. theorem OAI.SKFluctuations.Hierarchy.HeatJet.profileGapThirdJet_A line 176
  20. theorem OAI.SKFluctuations.Hierarchy.HeatJet.profileGapCurvature_hasDerivAt line 179
  21. theorem OAI.SKFluctuations.Hierarchy.scalarTailJet_H_smooth line 213
  22. theorem OAI.SKFluctuations.Hierarchy.scalarPlantedEnergy_hasDerivAt_plateau line 219
  23. theorem OAI.SKFluctuations.Hierarchy.parametric_clockTest_continuous_joint line 248
  24. theorem OAI.SKFluctuations.Hierarchy.dynamic_clockTest_spatial_continuous line 270
  25. theorem OAI.SKFluctuations.Hierarchy.dynamic_clockGradient_spatial_continuous line 281
  26. theorem OAI.SKFluctuations.Hierarchy.dynamic_clockSecond_spatial_continuous line 298
  27. theorem OAI.SKFluctuations.Hierarchy.HeatJetFamily.evolve_A_continuous line 324
  28. theorem OAI.SKFluctuations.Hierarchy.HeatJetFamily.evolve_A₁_continuous line 329
  29. theorem OAI.SKFluctuations.Hierarchy.HeatJetFamily.evolve_A₂_continuous line 336
  30. theorem OAI.SKFluctuations.Hierarchy.boundedContinuous_integral line 354
  31. theorem OAI.SKFluctuations.Hierarchy.hasDerivAt_integral_bounded line 369
  32. def OAI.SKFluctuations.Hierarchy.HeatJetFamily.integralTest line 389
  33. theorem OAI.SKFluctuations.Hierarchy.AbsBounded.precomp line 449
  34. theorem OAI.SKFluctuations.Hierarchy.dynamic_clockTest_spatial_bound line 454
  35. theorem OAI.SKFluctuations.Hierarchy.dynamic_clockGradient_spatial_bound line 465
  36. theorem OAI.SKFluctuations.Hierarchy.dynamic_clockSecond_spatial_bound line 482
  37. def OAI.SKFluctuations.Hierarchy.HeatJetFamily.reparam line 508
  38. def OAI.SKFluctuations.Hierarchy.HeatJetFamily.evolveTest line 527
  39. theorem OAI.SKFluctuations.Hierarchy.clockTest_integral line 570
  40. theorem OAI.SKFluctuations.Hierarchy.heatSteps_positive line 594
  41. theorem OAI.SKFluctuations.Hierarchy.heatPrefixTest_joint_continuous line 600
  42. theorem OAI.SKFluctuations.Hierarchy.heatPrefixTest_integral line 620
  43. theorem OAI.SKFluctuations.Hierarchy.HeatJetFamily.nonnegativeProfileTest_integral line 644