Theorems · Theorem · general topology
ContinuousMap.homeoFnOfDiscrete_symm_apply
∀ {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [inst_2 : DiscreteTopology X]
(f : X → Y), ⇑(ContinuousMap.homeoFnOfDiscrete.symm f) = f- Defined in
- Mathlib.Topology.CompactOpen
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- 0 results in Mathlib
- Foundations
- Depth 84 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.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement · cited by 2,491
- Homeomorphstatement · cited by 725
- DiscreteTopologystatement and proof · cited by 373
- Homeomorph.symmstatement · cited by 365
- ContinuousMap.homeoFnOfDiscretestatement · cited by 6
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