OAI/Probability/CriticalPercolation/GraphGeometry/GraphApproximateNeighborhoods.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.CriticalPercolation.GraphTopology.displacement line 15
  2. lemma OAI.CriticalPercolation.GraphTopology.reachBall_mono line 18
  3. lemma OAI.CriticalPercolation.GraphTopology.iso_reachBall_image line 23
  4. lemma OAI.CriticalPercolation.GraphTopology.reachBall_ncard_eq line 32
  5. lemma OAI.CriticalPercolation.GraphTopology.one_mem_displacement line 37
  6. lemma OAI.CriticalPercolation.GraphTopology.displacement_inv line 40
  7. lemma OAI.CriticalPercolation.GraphTopology.displacement_mul_subset line 48
  8. lemma OAI.CriticalPercolation.GraphTopology.reachBall_packing line 53
  9. lemma OAI.CriticalPercolation.GraphTopology.displacement_cover_of_doubling line 100
  10. lemma OAI.CriticalPercolation.GraphTopology.displacement_approximate_of_doubling line 123
  11. theorem OAI.CriticalPercolation.GraphTopology.compact_open_approximate_scales line 137