Theorems · Definition · general topology
Set.EquicontinuousAt
{X : Type u_3} → {α : Type u_6} → [tX : TopologicalSpace X] → [uα : UniformSpace α] → Set (X → α) → X → PropWe say that a set H : Set (X → α) of functions is equicontinuous at a point if the family
(↑) : ↥H → (X → α) is equicontinuous at that point.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- UniformSpacestatement and proof · cited by 2,040
- EquicontinuousAtproof · cited by 39
Cited by3
Results whose statement or proof uses this declaration.
- Set.EquicontinuousAt.closurestatement and proof · cited by 1
- Set.EquicontinuousAt.continuousAt_of_memstatement and proof · cited by 0
- Set.EquicontinuousAt.monostatement and proof · cited by 0