OAI/Combinatorics/BalancedRyser/Probability/UncoveredSubsetVariance.lean

GitHub source file

19 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Balanced.UncoveredSampling.planeFraction line 16
  2. def OAI.Balanced.UncoveredSampling.targetFraction line 19
  3. theorem OAI.Balanced.UncoveredSampling.planeFraction_exchange_left line 22
  4. theorem OAI.Balanced.UncoveredSampling.planeFraction_exchange_right line 29
  5. theorem OAI.Balanced.UncoveredSampling.targetFraction_exchange_left line 36
  6. theorem OAI.Balanced.UncoveredSampling.targetFraction_exchange_right line 43
  7. theorem OAI.Balanced.UncoveredSampling.planeFraction_variance_le line 50
  8. theorem OAI.Balanced.UncoveredSampling.targetFraction_variance_le line 63
  9. theorem OAI.Balanced.UncoveredSampling.scaled_exposure_bound line 83
  10. theorem OAI.Balanced.UncoveredSampling.planeFraction_variance_le_scaled line 94
  11. theorem OAI.Balanced.UncoveredSampling.targetFraction_variance_le_scaled line 101
  12. abbrev OAI.Balanced.UncoveredSampling.SamplePair line 110
  13. def OAI.Balanced.UncoveredSampling.sampleLaw line 112
  14. theorem OAI.Balanced.UncoveredSampling.sampleLaw_apply_product line 120
  15. theorem OAI.Balanced.UncoveredSampling.variance_sampleLaw line 133
  16. theorem OAI.Balanced.UncoveredSampling.planeFraction_measure_variance_le line 139
  17. theorem OAI.Balanced.UncoveredSampling.targetFraction_measure_variance_le line 147
  18. theorem OAI.Balanced.UncoveredSampling.planeFraction_measure_variance_le_scaled line 156
  19. theorem OAI.Balanced.UncoveredSampling.targetFraction_measure_variance_le_scaled line 164