OAI/Analysis/CircleDomains/Topology/PathTolls.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

Boundary tolls count every parameter visit. Counting-square-summable weights have countable support, so their true tolls are Borel.

  1. def OAI.CircleDomainRigidity.boundaryToll line 18
  2. theorem OAI.CircleDomainRigidity.boundaryToll_eq_visits line 21
  3. theorem OAI.CircleDomainRigidity.boundaryToll_eq_support line 34
  4. theorem OAI.CircleDomainRigidity.countable_support_of_summable_sq line 45
  5. theorem OAI.CircleDomainRigidity.measurable_boundaryToll line 56
  6. theorem OAI.CircleDomainRigidity.measurable_boundaryToll_of_summable_sq line 63
  7. theorem OAI.CircleDomainRigidity.lintegral_boundaryToll line 68