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Theorems · Theorem · general topology

compactCovering_subset

∀ (X : Type u_1) [inst : TopologicalSpace X] [inst_1 : SigmaCompactSpace X] ⦃m n : ℕ⦄,
  m ≤ n → compactCovering X m ⊆ compactCovering X n
Defined in
Mathlib.Topology.Compactness.SigmaCompact
Cited by
1 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceSigmaCompactSpace
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Around this declaration

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MeasureTheory.ae_eq_zero_of_forall_setIntegral_isCompact_eq_zero · cited by 1MeasureTheory.ae_eq_zero_…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSigmaCompactSpace · cited by 55SigmaCompactSpacecompactCovering · cited by 14compactCoveringSet.monotone_accumulate · cited by 10Set.monotone_accumulatecompactCovering_subsetCITED BYCITES

Cites5

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Cited by1

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