OAI/Geometry/CylinderCovering/Cartesian/Caps.lean

GitHub source file

21 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.CylinderCovering.CartesianCaps.D_nonneg line 9
  2. lemma OAI.CylinderCovering.CartesianCaps.D_le line 13
  3. lemma OAI.CylinderCovering.CartesianCaps.D_sub_factor line 19
  4. lemma OAI.CylinderCovering.CartesianCaps.D_lipschitz line 24
  5. lemma OAI.CylinderCovering.CartesianCaps.abs_mul_le_one line 38
  6. lemma OAI.CylinderCovering.CartesianCaps.D_ray_lipschitz line 45
  7. lemma OAI.CylinderCovering.CartesianCaps.small_square line 57
  8. lemma OAI.CylinderCovering.CartesianCaps.residual_strictMono line 60
  9. lemma OAI.CylinderCovering.CartesianCaps.root_exists line 72
  10. lemma OAI.CylinderCovering.CartesianCaps.cap_spec line 93
  11. lemma OAI.CylinderCovering.CartesianCaps.cap_equation line 101
  12. lemma OAI.CylinderCovering.CartesianCaps.cap_mem_unit line 108
  13. lemma OAI.CylinderCovering.CartesianCaps.cap_unique line 114
  14. lemma OAI.CylinderCovering.CartesianCaps.residual_nonpos_iff line 121
  15. lemma OAI.CylinderCovering.CartesianCaps.aperture_eq_Icc line 138
  16. lemma OAI.CylinderCovering.CartesianCaps.cap_lipschitz line 155
  17. lemma OAI.CylinderCovering.CartesianCaps.cap_continuousOn line 190
  18. lemma OAI.CylinderCovering.CartesianCaps.D_half line 199
  19. lemma OAI.CylinderCovering.CartesianCaps.cap_quadratic_bound line 203
  20. lemma OAI.CylinderCovering.CartesianCaps.cap_fourth_order line 214
  21. theorem OAI.CylinderCovering.CartesianCaps.cap_properties line 231