Theorems · Theorem · general topology

PairReduction.radius_logSizeBallSeq_add_one

∀ {T : Type u_1} [inst : PseudoEMetricSpace T] {a c : ENNReal} {J : Finset T} [inst_1 : DecidableEq T] (hJ : J.Nonempty)
  (i : ℕ),
  (PairReduction.logSizeBallSeq J hJ a c (i + 1)).radius =
    PairReduction.logSizeRadius (PairReduction.logSizeBallSeq J hJ a c (i + 1)).point
      (PairReduction.logSizeBallSeq J hJ a c (i + 1)).finset a c

Defined in: Mathlib.Topology.EMetricSpace.PairReduction
Cited by: 0 results in Mathlib
Foundations: Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace DecidableEq

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Finsetstatement and proof · cited by 13,712
ENNRealstatement and proof · cited by 9,879
PseudoEMetricSpacestatement and proof · cited by 1,536
Finset.Nonemptystatement and proof · cited by 1,001
PairReduction.logSizeBallSeqstatement · cited by 26
PairReduction.logSizeBallStruct.finsetstatement · cited by 22
PairReduction.logSizeBallStruct.pointstatement · cited by 15
PairReduction.logSizeBallStruct.radiusstatement · cited by 12
PairReduction.logSizeRadiusstatement · cited by 7

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