OAI/Geometry/RCD/Metric/BallAverageBad.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Open sets of large local averages

No null-sphere hypothesis is needed: shrink the inner integral first, then move the center between two concentric balls.

  1. def OAI.RegularPointCoordinates.ballAverageBad line 19
  2. theorem OAI.RegularPointCoordinates.exists_smaller_ball_integral_gt line 22
  3. theorem OAI.RegularPointCoordinates.isOpen_ballAverageBad line 52