OAI/Analysis/CircleDomains/Sobolev/LocalDensityIntegrability.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Finite spherical quadratic energy supplies finite planar line density on almost every horizontal and vertical line in each compact chart patch.

  1. theorem OAI.CircleDomainRigidity.ennreal_le_one_add_sq line 17
  2. theorem OAI.CircleDomainRigidity.lintegral_lt_top_of_sq line 26
  3. theorem OAI.CircleDomainRigidity.planar_density_on_compact_finite line 36
  4. theorem OAI.CircleDomainRigidity.ae_finite_planar_density_slices line 45