Theorems · Theorem · general topology

PairReduction.disjoint_smallBall_logSizeBallSeq

∀ {T : Type u_1} [inst : PseudoEMetricSpace T] {a c : ENNReal} {J : Finset T} [inst_1 : DecidableEq T] (hJ : J.Nonempty)
  {i j : ℕ},
  i ≠ j →
    Disjoint ((PairReduction.logSizeBallSeq J hJ a c i).smallBall c)
      ((PairReduction.logSizeBallSeq J hJ a c j).smallBall c)

Defined in

Mathlib.Topology.EMetricSpace.PairReduction

Cited by

1 results in Mathlib

Foundations

Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpaceDecidableEq