OAI/MeasureTheory/Falconer/Shells/FiniteShellSum.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Finite summation of the stationary shell terms

The finite inverse order and separated factor count contribute only their explicit finite cardinality. No supremum or interchange with a variable measure is hidden in this step.

  1. theorem OAI.Falconer.norm_sum_sq_le_card line 15
  2. theorem OAI.Falconer.finite_shell_sum_sq_integrable line 21
  3. theorem OAI.Falconer.finite_shell_sum_le line 43