OAI/Analysis/CircleDomains/Topology/SimpleLoopCircle.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

A closed path injective before its terminal time is a planar circle embedding, to which the existing Schoenflies input applies.

  1. def OAI.CircleDomainRigidity.circleOfClosedPath line 16
  2. theorem OAI.CircleDomainRigidity.circleOfClosedPath_apply line 20
  3. theorem OAI.CircleDomainRigidity.circleOfClosedPath_injective line 25
  4. theorem OAI.CircleDomainRigidity.circleOfClosedPath_range line 34
  5. theorem OAI.CircleDomainRigidity.exists_schoenflies_of_simple_closed_path line 60