OAI/Analysis/CircleDomains/Sobolev/LipschitzArclengthBounds.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

A Lipschitz parameterization has arclength measure dominated by its Lipschitz constant times one-dimensional Hausdorff measure on time.

  1. theorem OAI.CircleDomainRigidity.variation_time_identity line 16
  2. theorem OAI.CircleDomainRigidity.lipschitz_pathLength_Icc_le line 30
  3. theorem OAI.CircleDomainRigidity.lipschitz_pathLength_le_diameter line 38
  4. theorem OAI.CircleDomainRigidity.lipschitz_pathLength_le_hausdorff line 54