Commit 2024-11-11 19:06 aef008c6
View on Github →chore(Topology): Namespace Inducing
, Embedding
... (#15993)
We don't add deprecated aliases because definitions only gained a namespace and the presence of both namespaced and unnamespaced declarations would confuse Lean. Furthermore, _root_.IsInducing
, _root_.IsEmbedding
, etc... only existed for a short while.
Moves:
IsInducing
→Topology.IsInducing
IsEmbedding
→Topology.IsEmbedding
IsOpenEmbedding
→Topology.IsOpenEmbedding
IsClosedEmbedding
→Topology.IsClosedEmbedding
IsQuotientMap
→Topology.IsQuotientMap
IsClosedEmbedding.LindelofSpace
→Topology.IsClosedEmbedding.LindelofSpace
IsClosedEmbedding.compactSpace
→Topology.IsClosedEmbedding.compactSpace
IsClosedEmbedding.inl
→Topology.IsClosedEmbedding.inl
IsClosedEmbedding.inr
→Topology.IsClosedEmbedding.inr
IsClosedEmbedding.isCompact_preimage
→Topology.IsClosedEmbedding.isCompact_preimage
IsClosedEmbedding.isLindelof_preimage
→Topology.IsClosedEmbedding.isLindelof_preimage
IsClosedEmbedding.isProperMap
→Topology.IsClosedEmbedding.isProperMap
IsClosedEmbedding.locallyCompactSpace
→Topology.IsClosedEmbedding.locallyCompactSpace
IsClosedEmbedding.measurableEmbedding
→Topology.IsClosedEmbedding.measurableEmbedding
IsClosedEmbedding.nonLindelofSpace
→Topology.IsClosedEmbedding.nonLindelofSpace
IsClosedEmbedding.noncompactSpace
→Topology.IsClosedEmbedding.noncompactSpace
IsClosedEmbedding.normalSpace
→Topology.IsClosedEmbedding.normalSpace
IsClosedEmbedding.paracompactSpace
→Topology.IsClosedEmbedding.paracompactSpace
IsClosedEmbedding.preimage_closedPoints
→Topology.IsClosedEmbedding.preimage_closedPoints
IsClosedEmbedding.quasiSober
→Topology.IsClosedEmbedding.quasiSober
IsClosedEmbedding.restrictPreimage
→Topology.IsClosedEmbedding.restrictPreimage
IsClosedEmbedding.sigmaCompactSpace
→Topology.IsClosedEmbedding.sigmaCompactSpace
IsClosedEmbedding.sigmaMk
→Topology.IsClosedEmbedding.sigmaMk
IsClosedEmbedding.subtypeVal
→Topology.IsClosedEmbedding.subtypeVal
IsClosedEmbedding.t4Space
→Topology.IsClosedEmbedding.t4Space
IsClosedEmbedding.tendsto_coLindelof
→Topology.IsClosedEmbedding.tendsto_coLindelof
IsClosedEmbedding.tendsto_cocompact
→Topology.IsClosedEmbedding.tendsto_cocompact
IsClosedEmbedding.uliftDown
→Topology.IsClosedEmbedding.uliftDown
IsClosedEmbedding.weaklyLocallyCompactSpace
→Topology.IsClosedEmbedding.weaklyLocallyCompactSpace
IsEmbedding.codRestrict
→Topology.IsEmbedding.codRestrict
IsEmbedding.comapMetricSpace
→Topology.IsEmbedding.comapMetricSpace
IsEmbedding.comapUniformSpace
→Topology.IsEmbedding.comapUniformSpace
IsEmbedding.completelyNormalSpace
→Topology.IsEmbedding.completelyNormalSpace
IsEmbedding.continuousOn_iff
→Topology.IsEmbedding.continuousOn_iff
IsEmbedding.inclusion
→Topology.IsEmbedding.inclusion
IsEmbedding.inl
→Topology.IsEmbedding.inl
IsEmbedding.inr
→Topology.IsEmbedding.inr
IsEmbedding.isCompact_iff
→Topology.IsEmbedding.isCompact_iff
IsEmbedding.isLindelof_iff
→Topology.IsEmbedding.isLindelof_iff
IsEmbedding.isLocallyClosed_iff
→Topology.IsEmbedding.isLocallyClosed_iff
IsEmbedding.isSigmaCompact_iff
→Topology.IsEmbedding.isSigmaCompact_iff
IsEmbedding.isTotallyDisconnected
→Topology.IsEmbedding.isTotallyDisconnected
IsEmbedding.isTotallyDisconnected_image
→Topology.IsEmbedding.isTotallyDisconnected_image
IsEmbedding.isTotallyDisconnected_range
→Topology.IsEmbedding.isTotallyDisconnected_range
IsEmbedding.map_nhdsWithin_eq
→Topology.IsEmbedding.map_nhdsWithin_eq
IsEmbedding.measurableEmbedding
→Topology.IsEmbedding.measurableEmbedding
IsEmbedding.prodMap
→Topology.IsEmbedding.prodMap
IsEmbedding.restrictPreimage
→Topology.IsEmbedding.restrictPreimage
IsEmbedding.secondCountableTopology
→Topology.IsEmbedding.secondCountableTopology
IsEmbedding.separableSpace
→Topology.IsEmbedding.separableSpace
IsEmbedding.sigmaMk
→Topology.IsEmbedding.sigmaMk
IsEmbedding.subtypeVal
→Topology.IsEmbedding.subtypeVal
IsEmbedding.t0Space
→Topology.IsEmbedding.t0Space
IsEmbedding.t1Space
→Topology.IsEmbedding.t1Space
IsEmbedding.t25Space
→Topology.IsEmbedding.t25Space
IsEmbedding.t2Space
→Topology.IsEmbedding.t2Space
IsEmbedding.t3Space
→Topology.IsEmbedding.t3Space
IsEmbedding.t5Space
→Topology.IsEmbedding.t5Space
IsEmbedding.toPullbackDiag
→Topology.IsEmbedding.toPullbackDiag
IsEmbedding.to_isometry
→Topology.IsEmbedding.to_isometry
IsEmbedding.uliftDown
→Topology.IsEmbedding.uliftDown
IsInducing.alexandrovDiscrete
→Topology.IsInducing.alexandrovDiscrete
IsInducing.codRestrict
→Topology.IsInducing.codRestrict
IsInducing.comapPseudoMetricSpace
→Topology.IsInducing.comapPseudoMetricSpace
IsInducing.continuousConstSMul
→Topology.IsInducing.continuousConstSMul
IsInducing.continuousInv
→Topology.IsInducing.continuousInv
IsInducing.continuousMul
→Topology.IsInducing.continuousMul
IsInducing.continuousOn_iff
→Topology.IsInducing.continuousOn_iff
IsInducing.continuousSMul
→Topology.IsInducing.continuousSMul
IsInducing.continuousWithinAt_iff
→Topology.IsInducing.continuousWithinAt_iff
IsInducing.frechetUrysohnSpace
→Topology.IsInducing.frechetUrysohnSpace
IsInducing.generalizingMap
→Topology.IsInducing.generalizingMap
IsInducing.hasProd_iff
→Topology.IsInducing.hasProd_iff
IsInducing.injective
→Topology.IsInducing.injective
IsInducing.inseparable_iff
→Topology.IsInducing.inseparable_iff
IsInducing.isClosedMap
→Topology.IsInducing.isClosedMap
IsInducing.isCompact_iff
→Topology.IsInducing.isCompact_iff
IsInducing.isCompact_preimage
→Topology.IsInducing.isCompact_preimage
IsInducing.isCompact_preimage'
→Topology.IsInducing.isCompact_preimage'
IsInducing.isCompact_preimage_iff
→Topology.IsInducing.isCompact_preimage_iff
IsInducing.isEmbedding
→Topology.IsInducing.isEmbedding
IsInducing.isLindelof_iff
→Topology.IsInducing.isLindelof_iff
IsInducing.isLindelof_preimage
→Topology.IsInducing.isLindelof_preimage
IsInducing.isLocallyClosed_iff
→Topology.IsInducing.isLocallyClosed_iff
IsInducing.isOpenMap
→Topology.IsInducing.isOpenMap
IsInducing.isPathConnected_iff
→Topology.IsInducing.isPathConnected_iff
IsInducing.isPreconnected_image
→Topology.IsInducing.isPreconnected_image
IsInducing.isSigmaCompact_iff
→Topology.IsInducing.isSigmaCompact_iff
IsInducing.joinedIn_image
→Topology.IsInducing.joinedIn_image
IsInducing.locallyCompactSpace
→Topology.IsInducing.locallyCompactSpace
IsInducing.multipliable_iff_tprod_comp_mem_range
→Topology.IsInducing.multipliable_iff_tprod_comp_mem_range
IsInducing.of_codRestrict
→Topology.IsInducing.of_codRestrict
IsInducing.prodMap
→Topology.IsInducing.prodMap
IsInducing.r0Space
→Topology.IsInducing.r0Space
IsInducing.r1Space
→Topology.IsInducing.r1Space
IsInducing.regularSpace
→Topology.IsInducing.regularSpace
IsInducing.restrictPreimage
→Topology.IsInducing.restrictPreimage
IsInducing.secondCountableTopology
→Topology.IsInducing.secondCountableTopology
IsInducing.specializes_iff
→Topology.IsInducing.specializes_iff
IsInducing.specializingMap
→Topology.IsInducing.specializingMap
IsInducing.subtypeVal
→Topology.IsInducing.subtypeVal
IsInducing.topologicalGroup
→Topology.IsInducing.topologicalGroup
IsInducing.withSeminorms
→Topology.IsInducing.withSeminorms
IsOpenEmbedding.coborder_preimage
→Topology.IsOpenEmbedding.coborder_preimage
IsOpenEmbedding.compatiblePreserving
→Topology.IsOpenEmbedding.compatiblePreserving
IsOpenEmbedding.functor_isContinuous
→Topology.IsOpenEmbedding.functor_isContinuous
IsOpenEmbedding.functor_obj_injective
→Topology.IsOpenEmbedding.functor_obj_injective
IsOpenEmbedding.inl
→Topology.IsOpenEmbedding.inl
IsOpenEmbedding.inr
→Topology.IsOpenEmbedding.inr
IsOpenEmbedding.isLocalHomeomorph
→Topology.IsOpenEmbedding.isLocalHomeomorph
IsOpenEmbedding.isQuasiSeparated_iff
→Topology.IsOpenEmbedding.isQuasiSeparated_iff
IsOpenEmbedding.locPathConnectedSpace
→Topology.IsOpenEmbedding.locPathConnectedSpace
IsOpenEmbedding.locallyCompactSpace
→Topology.IsOpenEmbedding.locallyCompactSpace
IsOpenEmbedding.locallyConnectedSpace
→Topology.IsOpenEmbedding.locallyConnectedSpace
IsOpenEmbedding.map_nhdsWithin_preimage_eq
→Topology.IsOpenEmbedding.map_nhdsWithin_preimage_eq
IsOpenEmbedding.measurableEmbedding
→Topology.IsOpenEmbedding.measurableEmbedding
IsOpenEmbedding.preimage_closedPoints
→Topology.IsOpenEmbedding.preimage_closedPoints
IsOpenEmbedding.prodMap
→Topology.IsOpenEmbedding.prodMap
IsOpenEmbedding.quasiSober
→Topology.IsOpenEmbedding.quasiSober
IsOpenEmbedding.restrictPreimage
→Topology.IsOpenEmbedding.restrictPreimage
IsOpenEmbedding.sigmaMk
→Topology.IsOpenEmbedding.sigmaMk
IsOpenEmbedding.singleton_smoothManifoldWithCorners
→Topology.IsOpenEmbedding.singleton_smoothManifoldWithCorners
IsQuotientMap.continuousOn_isOpen_iff
→Topology.IsQuotientMap.continuousOn_isOpen_iff
IsQuotientMap.continuous_lift_prod_left
→Topology.IsQuotientMap.continuous_lift_prod_left
IsQuotientMap.continuous_lift_prod_right
→Topology.IsQuotientMap.continuous_lift_prod_right
IsQuotientMap.image_connectedComponent
→Topology.IsQuotientMap.image_connectedComponent
IsQuotientMap.isClopen_preimage
→Topology.IsQuotientMap.isClopen_preimage
IsQuotientMap.preimage_connectedComponent
→Topology.IsQuotientMap.preimage_connectedComponent
IsQuotientMap.restrictPreimage_isOpen
→Topology.IsQuotientMap.restrictPreimage_isOpen
IsQuotientMap.sequentialSpace
→Topology.IsQuotientMap.sequentialSpace
isEmbedding_sigmaMap
→Topology.isEmbedding_sigmaMap
isInducing_const_prod
→+ Topology.isInducing_const_prod
isInducing_prod_const
→+ Topology.isInducing_prod_const
isInducing_sigmaMap
→+ Topology.isInducing_sigmaMap
isOpenEmbedding_sigmaMap
→+ Topology.isOpenEmbedding_sigmaMap
IsClosedEmbedding.integral_map
→+ Topology.IsClosedEmbedding.integral_map
IsClosedEmbedding.polishSpace
→Topology.IsClosedEmbedding.polishSpace
IsClosedEmbedding.setIntegral_map
→Topology.IsClosedEmbedding.setIntegral_map
IsEmbedding.aestronglyMeasurable_comp_iff
→Topology.IsEmbedding.aestronglyMeasurable_comp_iff
IsEmbedding.firstCountableTopology
→Topology.IsEmbedding.firstCountableTopology
IsEmbedding.metrizableSpace
→Topology.IsEmbedding.metrizableSpace
IsEmbedding.toHomeomorph_of_surjective
→Topology.IsEmbedding.toHomeomorph_of_surjective
IsInducing.firstCountableTopology
→Topology.IsInducing.firstCountableTopology
IsInducing.noetherianSpace
→Topology.IsInducing.noetherianSpace
IsInducing.pseudoMetrizableSpace
→Topology.IsInducing.pseudoMetrizableSpace
IsQuotientMap.secondCountableTopology
→Topology.IsQuotientMap.secondCountableTopology
IsQuotientMap.separableSpace
→Topology.IsQuotientMap