OAI/Probability/GaussianPropeller/Attainment.lean

GitHub source file

28 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.GaussianPropeller.Reduction.integral_comp_neg line 35
  2. theorem OAI.GaussianPropeller.Reduction.scoreMax_three line 41
  3. theorem OAI.GaussianPropeller.Reduction.three_range_identity line 52
  4. theorem OAI.GaussianPropeller.Reduction.width_three line 91
  5. theorem OAI.GaussianPropeller.Reduction.perimeter_sq_le line 118
  6. theorem OAI.GaussianPropeller.Reduction.width_three_sq_le line 132
  7. theorem OAI.GaussianPropeller.Reduction.three_partition_bound line 149
  8. theorem OAI.GaussianPropeller.Reduction.centroid_congr_ae line 162
  9. theorem OAI.GaussianPropeller.Reduction.value_congr_ae line 166
  10. theorem OAI.GaussianPropeller.Reduction.partition_congr_ae line 172
  11. theorem OAI.GaussianPropeller.Reduction.closedCell_eq_scoreCell_ae line 182
  12. def OAI.GaussianPropeller.Reduction.axis0 line 198
  13. def OAI.GaussianPropeller.Reduction.axis1 line 200
  14. def OAI.GaussianPropeller.Reduction.sectorScores line 203
  15. theorem OAI.GaussianPropeller.Reduction.axis_inner line 208
  16. theorem OAI.GaussianPropeller.Reduction.sectorScores_scores line 213
  17. theorem OAI.GaussianPropeller.Reduction.sectorScores_closed line 220
  18. theorem OAI.GaussianPropeller.Reduction.sectorScores_norms line 228
  19. theorem OAI.GaussianPropeller.Reduction.sectorScores_injective line 258
  20. theorem OAI.GaussianPropeller.Reduction.propeller_three line 266
  21. theorem OAI.GaussianPropeller.Reduction.append_empty_partition line 292
  22. theorem OAI.GaussianPropeller.Reduction.append_empty_value line 310
  23. theorem OAI.GaussianPropeller.Reduction.propeller_succ line 314
  24. theorem OAI.GaussianPropeller.Reduction.propeller_attainment line 321
  25. theorem OAI.GaussianPropeller.Reduction.centroid_norm_le line 329
  26. theorem OAI.GaussianPropeller.Reduction.centroid_norm_sq_le line 362
  27. theorem OAI.GaussianPropeller.Reduction.normalized_centroid_lt_two_thirds line 368
  28. theorem OAI.GaussianPropeller.main_attainment line 388