Theorems · Theorem · general topology
Topology.IsQuotientMap.separableSpace
∀ {α : Type u} {β : Type u_1} [t : TopologicalSpace α] [TopologicalSpace.SeparableSpace α] [inst : TopologicalSpace β]
{f : α → β}, Topology.IsQuotientMap f → TopologicalSpace.SeparableSpace β- Defined in
- Mathlib.Topology.Bases
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Topology.IsQuotientMapstatement and proof · cited by 124
- TopologicalSpace.SeparableSpacestatement and proof · cited by 109
- Topology.IsQuotientMap.surjectiveproof · cited by 24
- Function.Surjective.denseRangeproof · cited by 21
- Topology.IsQuotientMap.continuousproof · cited by 14
- DenseRange.separableSpaceproof · cited by 2
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