OAI/Geometry/RCD/Metric/MetricLimitLocalContraction.lean

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Local midpoint contraction after shrinking the pole ball

Every interior point has a neighborhood with the dimension-sharp ball contraction inequality. Only positive interior mass of the actual weak limit is used to shrink the pole; no density formula is assumed.

  1. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.metric_limit_local_contraction line 18