OAI/MeasureTheory/Falconer/Estimates/ScalarRounding.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

Rounding an actual separated scalar set to dyadic centers preserves its cardinality and moves each point by at most half a fine cell.

  1. def OAI.Falconer.Regularization.scalarPointLeaves line 9
  2. def OAI.Falconer.Regularization.scalarRoundedPoints line 12
  3. theorem OAI.Falconer.Regularization.scalarPointLeaves_subset line 15
  4. theorem OAI.Falconer.Regularization.scalarPointLeaves_card line 21
  5. theorem OAI.Falconer.Regularization.scalarRoundedPoints_eq_image line 30
  6. theorem OAI.Falconer.Regularization.scalarRoundedPoints_card line 34
  7. theorem OAI.Falconer.Regularization.scalarRoundedPoints_near line 41