Theorems · Theorem · general topology
Topology.IsInducing.specializingMap
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
Topology.IsInducing f → StableUnderSpecialization (Set.range f) → SpecializingMap f- Defined in
- Mathlib.Topology.Inseparable
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- Foundations
- Depth 78 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
- Set.rangestatement and proof · cited by 4,705
- Topology.IsInducingstatement and proof · cited by 266
- Specializesproof · cited by 176
- StableUnderSpecializationstatement and proof · cited by 32
- SpecializingMapstatement · cited by 21
- Topology.IsInducing.specializes_iffproof · cited by 10
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