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Diff — Compact space

Revision #2365 → #2538 · back to history

modifiedHeine–Borel theorem (lead)204e0f88f209
FieldFrom #2365To #2538
mathlib.declisCompact_iff_isClosed_boundedMetric.isCompact_iff_isClosed_bounded
provenanceaiai-moderated
modifiedHeine–Borel lemmad772338dfef8
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mathlib.declisCompact_iff_isClosed_boundedMetric.isCompact_iff_isClosed_bounded
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modifiedUnit interval is compactc35bbc2e9c6a
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mathlib.declisCompact_IccCompactIccSpace.isCompact_Icc
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modifiedHalf-line [0,∞) not compact5c9f3009ea62
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mathlib.declReal.noncompactSpaceRealNormedSpace.noncompactSpace
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modifiedClosed disks and circles compact; open disk not38272fc62789
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mathlib.declisCompact_closedBallProperSpace.isCompact_closedBall
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modifiedCompactness in Euclidean spacea0bc97788b41
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mathlib.declisCompact_iff_isClosed_boundedMetric.isCompact_iff_isClosed_bounded
provenanceaiai-moderated
modifiedHeine–Borel theorem84c6c900df21
FieldFrom #2365To #2538
mathlib.declisCompact_iff_isClosed_boundedMetric.isCompact_iff_isClosed_bounded
provenanceaiai-moderated
modifiedCompact metric space is second-countable, separable, Lindelöfc1badaa52f91
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mathlib.declTopologicalSpace.SecondCountableTopologySecondCountableTopology
provenanceaiai-moderated
modifiedEvaluation map is a ring homomorphism3add53ccfb9b
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mathlib.declContinuousMap.evalRingHomContinuousMap.evalAlgHom
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modifiedDiscrete spaces and compactness134dcbb63300
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mathlib.declDiscreteTopology.compactSpace_iff_finitefinite_of_compact_of_discrete
provenanceaiai-moderated
modified[0,1] compact, (0,1) not, rationals in [0,1] not4657a8e5fb6f
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mathlib.declisCompact_IccCompactIccSpace.isCompact_Icc
provenanceaiai-moderated
modifiedReal line not compactbf2136bad1e5
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mathlib.declReal.noncompactSpaceRealNormedSpace.noncompactSpace
provenanceaiai-moderated
modifiedProkhorov's theorem8397966eeb4f
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mathlib.declMeasureTheory.IsTightMeasureSet.isCompact_closureisCompact_closure_of_isTightMeasureSet
provenanceaiai-moderated
modifiedStructure space of Banach algebra compact80f114d79f93
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mathlib.declWeakDual.CharacterSpace.instCompactSpaceWeakDual.CharacterSpace.instCompactSpaceElemCharacterSpaceOfProperSpace
provenanceaiai-moderated