OAI/Analysis/CircleDomains/Sobolev/LipschitzMappedArclength.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A Lipschitz map multiplies actual path arclength by at most its Lipschitz constant. The proof constructs the nonnegative Stieltjes difference.

  1. theorem OAI.CircleDomainRigidity.pathLengthMeasure_le_of_interval_bounds line 18
  2. def OAI.CircleDomainRigidity.lipschitzMappedPath line 67
  3. theorem OAI.CircleDomainRigidity.lipschitzMappedPath_length_le line 74