Theorems · Theorem · general topology
IsOpenMap.separableSpace_of_isInducing
∀ {α : Type u} {β : Type u_1} [t : TopologicalSpace α] [inst : TopologicalSpace β] [TopologicalSpace.SeparableSpace β]
{f : α → β}, IsOpenMap f → Topology.IsInducing f → TopologicalSpace.SeparableSpace α- Defined in
- Mathlib.Topology.Bases
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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- TopologicalSpacestatement and proof · cited by 24,529
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- Set.mem_range_selfproof · cited by 328
- isEmpty_or_nonemptyproof · cited by 269
- Topology.IsInducingstatement and proof · cited by 266
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