OAI/Analysis/CircleDomains/Topology/HalfPlaneRay.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Compactification of the integer translates of a lifted ray. The curve escapes in height, so the added endpoint is the single boundary point 1.

  1. structure OAI.CircleDomainRigidity.HalfPlaneRay line 15
  2. def OAI.CircleDomainRigidity.HalfPlaneRay.compactify line 23
  3. theorem OAI.CircleDomainRigidity.HalfPlaneRay.compactify_top line 26
  4. theorem OAI.CircleDomainRigidity.HalfPlaneRay.continuousOn_compactify line 29
  5. theorem OAI.CircleDomainRigidity.HalfPlaneRay.continuousAt_compactify_top line 38
  6. theorem OAI.CircleDomainRigidity.HalfPlaneRay.continuous_compactify line 54
  7. theorem OAI.CircleDomainRigidity.HalfPlaneRay.compactify_injective line 63
  8. def OAI.CircleDomainRigidity.HalfPlaneRay.crosscut line 76
  9. theorem OAI.CircleDomainRigidity.HalfPlaneRay.crosscut_start_norm line 82
  10. theorem OAI.CircleDomainRigidity.HalfPlaneRay.crosscut_start_ne line 87
  11. theorem OAI.CircleDomainRigidity.HalfPlaneRay.crosscut_interior line 91
  12. theorem OAI.CircleDomainRigidity.HalfPlaneRay.exists_schoenflies line 98
  13. def OAI.CircleDomainRigidity.translatedHalfPlaneRay line 106
  14. theorem OAI.CircleDomainRigidity.translatedHalfPlaneRay_meet_iff line 133