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Theorems · Theorem · general topology

isSeqCompact_iff_isSeqCompact_univ

∀ {E : Type u_2} [inst : TopologicalSpace E] {A : Set E}, IsSeqCompact A ↔ IsSeqCompact Set.univ
Defined in
Mathlib.Topology.Compactness.CountablyCompact
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

isSeqCompact_iff_seqCompactSpace · cited by 1isSeqCompact_iff_seqCompa…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.Elem · cited by 7166Set.ElemSet.univ · cited by 3945Set.univSet.image_univ · cited by 322Set.image_univSubtype.range_coe · cited by 98Subtype.range_coeIsSeqCompact · cited by 26IsSeqCompactSubtype.isSeqCompact_iff · cited by 1Subtype.isSeqCompact_iffisSeqCompact_iff_isSeqCompact…CITED BYCITES

Cites8

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Cited by1

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