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Theorems · Theorem · measure theory

Set.Countable.dimH_zero

∀ {X : Type u_2} [inst : EMetricSpace X] {s : Set X}, s.Countable → dimH s = 0

Alias of dimH_countable.

Defined in
Mathlib.Topology.MetricSpace.HausdorffDimension
Cited by
1 results in Mathlib
Foundations
Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
EMetricSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

dimH_finite · cited by 1dimH_finiteSet · cited by 53352SetENNReal · cited by 9879ENNRealSet.Countable · cited by 545Set.CountableEMetricSpace · cited by 242EMetricSpacedimH · cited by 65dimHdimH_countable · cited by 1dimH_countableCountable.dimH_zeroCITED BYCITES

Cites6

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Cited by1

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