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Theorems · Theorem · general topology

Topology.IsInducing.generalizingMap

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  Topology.IsInducing f → StableUnderGeneralization (Set.range f) → GeneralizingMap f
Defined in
Mathlib.Topology.Inseparable
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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

Topology.IsOpenEmbedding.generalizingMap · cited by 1IsOpenEmbedding.generaliz…TopologicalSpace · cited by 24529TopologicalSpaceSet.range · cited by 4705Set.rangeTopology.IsInducing · cited by 266Topology.IsInducingSpecializes · cited by 176SpecializesStableUnderGeneralization · cited by 24StableUnderGeneralizationGeneralizingMap · cited by 16GeneralizingMapTopology.IsInducing.specializes_iff · cited by 10IsInducing.specializes_iffIsInducing.generalizingMapCITED BYCITES

Cites7

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Cited by1

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