Topology.IsEmbedding.perfectlyNormalSpace

Deprecated since 2026-06-03Use Topology.IsInducing.perfectlyNormalSpace instead.

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [PerfectlyNormalSpace Y]
  {e : X → Y}, Topology.IsInducing e → PerfectlyNormalSpace X

Alias of Topology.IsInducing.perfectlyNormalSpace.

Defined in: Mathlib.Topology.Separation.PerfectlyNormal
Cited by: 0 results in Mathlib
Foundations: Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace TopologicalSpace PerfectlyNormalSpace

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TopologicalSpacestatement · cited by 24,529
Topology.IsInducingstatement · cited by 266
PerfectlyNormalSpacestatement · cited by 6
Topology.IsInducing.perfectlyNormalSpaceproof · cited by 2

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