OAI/Analysis/CircleDomains/Topology/FiniteBoundaryDetour.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Finitely many boundary detours remove a compact set of singleton contacts. The disks may overlap: each new boundary misses the entire obstacle, so later detours introduce no new obstacle contacts.

  1. theorem OAI.CircleDomainRigidity.finite_boundary_detour_invariant line 15
  2. theorem OAI.CircleDomainRigidity.exists_finite_boundary_detour line 51
  3. theorem OAI.CircleDomainRigidity.exists_path_avoiding_from_local_boundary_detours line 69