OAI/Probability/Subsphere/Geometry/MassBounds.lean

GitHub source file

25 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SubsphereCurrent.Weighted.weightedOnTest line 14
  2. lemma OAI.SubsphereCurrent.Weighted.measurable_weightedOnTest line 18
  3. lemma OAI.SubsphereCurrent.Weighted.weighted_control line 22
  4. lemma OAI.SubsphereCurrent.Weighted.subspace_perpendicular line 46
  5. lemma OAI.SubsphereCurrent.Weighted.weighted_cap line 59
  6. lemma OAI.SubsphereCurrent.Weighted.radial_sphere line 71
  7. lemma OAI.SubsphereCurrent.Weighted.weightedOnTest_le_one line 77
  8. lemma OAI.SubsphereCurrent.Weighted.weighted_norm_le_one line 83
  9. def OAI.SubsphereCurrent.Weighted.sphereDensity line 97
  10. lemma OAI.SubsphereCurrent.Weighted.sphereDensity_integral line 100
  11. lemma OAI.SubsphereCurrent.Weighted.sphereDensity_cap line 110
  12. lemma OAI.SubsphereCurrent.Weighted.sphereDensity_le line 122
  13. lemma OAI.SubsphereCurrent.Weighted.sphereDensity_finite line 131
  14. lemma OAI.SubsphereCurrent.Weighted.sphereDensity_restrict_ball line 135
  15. lemma OAI.SubsphereCurrent.Weighted.polynomialMass_weighted line 145
  16. def OAI.SubsphereCurrent.Weighted.completeRoute line 156
  17. lemma OAI.SubsphereCurrent.Weighted.completeRoute_ge line 167
  18. lemma OAI.SubsphereCurrent.Weighted.measurable_completeRoute line 173
  19. lemma OAI.SubsphereCurrent.Weighted.sample_mass_identity line 183
  20. lemma OAI.SubsphereCurrent.Weighted.measurable_sample_mass line 205
  21. lemma OAI.SubsphereCurrent.Weighted.routing_mixture_bound line 224
  22. lemma OAI.SubsphereCurrent.Weighted.projection_sphere_integral line 253
  23. lemma OAI.SubsphereCurrent.Weighted.sphereDensity_zero_of_mass_zero line 266
  24. lemma OAI.SubsphereCurrent.Weighted.deterministic_sphere_routing line 278
  25. lemma OAI.SubsphereCurrent.Weighted.sphere_routing_bound line 297