OAI/Analysis/CircleDomains/Sobolev/PartitionGradientBound.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

A positive partition preserves a common pointwise bound on local weak-gradient components, and hence their common L² bound.

  1. theorem OAI.CircleDomainRigidity.partition_component_pointFinite line 15
  2. theorem OAI.CircleDomainRigidity.partition_component_aestronglyMeasurable line 26
  3. theorem OAI.CircleDomainRigidity.partition_component_bound line 38
  4. theorem OAI.CircleDomainRigidity.partition_component_memLp line 54