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Theorems · Theorem · general topology

Metric.IsSeparated.encard_le_packingNumber

∀ {X : Type u_1} [inst : PseudoEMetricSpace X] {A C : Set X} {ε : NNReal},
  C ⊆ A → Metric.IsSeparated (↑ε) C → C.encard ≤ Metric.packingNumber ε A
Defined in
Mathlib.Topology.MetricSpace.CoveringNumbers
Cited by
0 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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Set · cited by 53352SetENat · cited by 4985ENatNNReal · cited by 4310NNRealle_rfl · cited by 1558le_rflPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealSet.encard · cited by 327Set.encardle_iSup_of_le · cited by 79le_iSup_of_lele_iSup₂_of_le · cited by 52le_iSup₂_of_leMetric.IsSeparated · cited by 28Metric.IsSeparatedMetric.packingNumber · cited by 14Metric.packingNumberIsSeparated.encard_le_packing…CITED BYCITES

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