OAI/Analysis/CircleDomains/Modulus/DisjointArcLengths.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Disjoint compact portions of a simple arc have a total length bounded by the Hausdorff length of the whole arc, even when the map is only continuous on an open part of its parameter domain.

  1. theorem OAI.CircleDomainRigidity.simple_arc_Ioc_image_measurable line 15
  2. theorem OAI.CircleDomainRigidity.simple_arc_variation_le_Ioc_image line 37
  3. theorem OAI.CircleDomainRigidity.sum_disjoint_arc_variations_le line 56