Topology.IsQuotientMap.deltaGeneratedSpace

Deprecated since 2026-04-23Use Topology.IsQuotientMap.isGeneratedBy instead.

∀ {ι : Type t} {X : ι → Type u} [inst : (i : ι) → TopologicalSpace (X i)] {Y : Type v} [tY : TopologicalSpace Y]
  {Z : Type v'} [inst_1 : TopologicalSpace Z] {f : Y → Z},
  Topology.IsQuotientMap f → ∀ [Topology.IsGeneratedBy X Y], Topology.IsGeneratedBy X Z

Alias of Topology.IsQuotientMap.isGeneratedBy.

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

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TopologicalSpacestatement · cited by 24,529
Topology.IsQuotientMapstatement · cited by 124
Topology.IsGeneratedBystatement · cited by 38
Topology.IsQuotientMap.isGeneratedByproof · cited by 3

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