OAI/Probability/JammingConcavity/DeletionUniformGapCountFailureBound.lean

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31 declarations, 0 contain sorry, 0 declared as axioms

Deletion Uniform Gap Count Failure Bound.

  1. def OAI.MicroscopicJamming.varianceMark line 39
  2. lemma OAI.MicroscopicJamming.coordinateLaw_sum line 42
  3. lemma OAI.MicroscopicJamming.coordinateLaw_apply_sum line 46
  4. lemma OAI.MicroscopicJamming.binary_product_expansion line 51
  5. lemma OAI.MicroscopicJamming.product_mixture_expansion line 62
  6. lemma OAI.MicroscopicJamming.gaussian_projection line 85
  7. lemma OAI.MicroscopicJamming.varianceMark_lower line 113
  8. lemma OAI.MicroscopicJamming.projectedVariance_lower line 121
  9. lemma OAI.MicroscopicJamming.gaussianPDFReal_le_one line 132
  10. lemma OAI.MicroscopicJamming.gaussian_interval_bound line 144
  11. lemma OAI.MicroscopicJamming.mixture_projection_interval_bound line 155
  12. def OAI.MicroscopicJamming.countHits line 181
  13. lemma OAI.MicroscopicJamming.iid_count_ge_bound line 187
  14. lemma OAI.MicroscopicJamming.countHits_interval_lower line 229
  15. lemma OAI.MicroscopicJamming.mixture_projection_count_bound line 264
  16. lemma OAI.MicroscopicJamming.mixture_image_small_ball line 285
  17. def OAI.MicroscopicJamming.transposeEquiv line 305
  18. lemma OAI.MicroscopicJamming.measurePreserving_transpose line 317
  19. lemma OAI.MicroscopicJamming.matrixOperator_transpose line 328
  20. lemma OAI.MicroscopicJamming.mixture_adjoint_small_ball line 335
  21. def OAI.MicroscopicJamming.rowEmbeddingLinear line 355
  22. def OAI.MicroscopicJamming.rowEmbedding line 364
  23. lemma OAI.MicroscopicJamming.rowEmbedding_norm line 368
  24. lemma OAI.MicroscopicJamming.rowEmbedding_inner line 384
  25. lemma OAI.MicroscopicJamming.net_point_small_image line 401
  26. lemma OAI.MicroscopicJamming.uniform_row_lower_failure_bound line 420
  27. lemma OAI.MicroscopicJamming.interval_count_stability line 509
  28. def OAI.MicroscopicJamming.nearGapCount line 553
  29. lemma OAI.MicroscopicJamming.nearGapCount_fixed_bound line 557
  30. lemma OAI.MicroscopicJamming.nearGapCount_net_transfer line 576
  31. lemma OAI.MicroscopicJamming.uniform_gap_count_failure_bound line 607