Theorems · Theorem · general topology
upperHemicontinuous_singleton_id
∀ {α : Type u_1} [inst : TopologicalSpace α], UpperHemicontinuous fun x => {x}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsproof · cited by 5,554
- Filter.Eventuallyproof · cited by 3,134
- UpperHemicontinuousstatement · cited by 30
- nhdsSet_singletonproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- upperHemicontinuousWithinAt_singleton_iffproof · cited by 2