OAI/Analysis/LipschitzHilbert/Estimates/CountGeometryParameters.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Fixed powers supplying the witness dilation and popularity threshold.

  1. theorem OAI.LipschitzHilbert.count_witness_dilation line 11
  2. theorem OAI.LipschitzHilbert.count_popular_threshold line 29

    Source documentation

    One extra power of L absorbs the compact-extraction and interval constants in the popularity average.

    theorem count_popular_threshold {L a p t : ℝ} (hL : 8 ≤ L)
        (ht : 2 * a + p + 1 ≤ t) :
        L ^ (-t) ≤ L ^ (-a) / (8 * L ^ a * L ^ p) := by
    …