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Theorems · Theorem · measure theory

dimH_singleton

∀ {X : Type u_2} [inst : EMetricSpace X] (x : X), dimH {x} = 0
Defined in
Mathlib.Topology.MetricSpace.HausdorffDimension
Cited by
1 results in Mathlib
Foundations
Depth 210 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_countable · cited by 1dimH_countableSet · cited by 53352SetENNReal · cited by 9879ENNRealEMetricSpace · cited by 242EMetricSpacedimH · cited by 65dimHSet.subsingleton_singleton · cited by 36Set.subsingleton_singletonSet.Subsingleton.dimH_zero · cited by 2Subsingleton.dimH_zerodimH_singletonCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.