OAI/Geometry/CylinderCovering/Simplex/Diameter.lean

GitHub source file

19 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.CylinderCovering.SimplexDiameter.chordLength_zero line 11
  2. lemma OAI.CylinderCovering.SimplexDiameter.chordLength_le_diam line 16
  3. lemma OAI.CylinderCovering.SimplexDiameter.chordLength_segment line 23
  4. lemma OAI.CylinderCovering.SimplexDiameter.chordLengths_compact line 29
  5. lemma OAI.CylinderCovering.SimplexDiameter.maxChord_attained line 48
  6. lemma OAI.CylinderCovering.SimplexDiameter.maxChord_nonneg line 52
  7. lemma OAI.CylinderCovering.SimplexDiameter.maxChord_le_diam line 56
  8. lemma OAI.CylinderCovering.SimplexDiameter.chordLength_le_maxChord line 60
  9. lemma OAI.CylinderCovering.SimplexDiameter.compact_diameter_attained line 66
  10. lemma OAI.CylinderCovering.SimplexDiameter.exists_maxChord_eq_diam line 76
  11. lemma OAI.CylinderCovering.SimplexDiameter.convexHull_pair_distance line 91
  12. lemma OAI.CylinderCovering.SimplexDiameter.finite_convexHull_diameter_attained line 98
  13. lemma OAI.CylinderCovering.SimplexDiameter.regular_convexHull_diameter line 105
  14. lemma OAI.CylinderCovering.SimplexDiameter.maxChord_pos_of_interior line 121
  15. lemma OAI.CylinderCovering.SimplexDiameter.projection_minimum_of_chord_identity line 134
  16. lemma OAI.CylinderCovering.SimplexDiameter.finite_edge_maxChord line 149
  17. lemma OAI.CylinderCovering.SimplexDiameter.finite_edge_projection_minimizer line 174
  18. lemma OAI.CylinderCovering.SimplexDiameter.affineIndependent_diameter_pos line 195
  19. lemma OAI.CylinderCovering.SimplexDiameter.regular_edge_maxChord line 204