OAI/Combinatorics/SharpRamsey/Geometry/Card.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

Incidence bounds for rich lines and finite point configurations.

  1. theorem OAI.SharpLogRamsey.NonplaneRichLines.card_le line 16
  2. lemma OAI.SharpLogRamsey.PlaneDecomposition.unit_of_degree_zero line 64
  3. theorem OAI.SharpLogRamsey.PlaneDecomposition.exists_decomposition line 74
  4. lemma OAI.SharpLogRamsey.PlaneCount.incidence_sum line 145
  5. lemma OAI.SharpLogRamsey.PlaneCount.incidence_sq_sum line 159
  6. theorem OAI.SharpLogRamsey.PlaneCount.card_mul_le line 184
  7. lemma OAI.SharpLogRamsey.PlaneCount.exclusive_card line 225
  8. lemma OAI.SharpLogRamsey.PlaneCount.exclusive_disjoint line 246
  9. theorem OAI.SharpLogRamsey.PlaneCount.union_lower line 258
  10. theorem OAI.SharpLogRamsey.SinglePlaneCount.card_mul_le line 289
  11. lemma OAI.SharpLogRamsey.SurfaceRichLines.plane_crossing line 382
  12. theorem OAI.SharpLogRamsey.SurfaceRichLines.card_le line 410