Theorems · Theorem · general topology
equicontinuousAt_iInf_rng
∀ {ι : Type u_1} {κ : Type u_2} {X : Type u_3} {α' : Type u_7} [tX : TopologicalSpace X] {u : κ → UniformSpace α'}
{F : ι → X → α'} {x₀ : X}, EquicontinuousAt F x₀ ↔ ∀ (k : κ), EquicontinuousAt F x₀- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 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.
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.univproof · cited by 3,945
- UniformSpacestatement and proof · cited by 2,040
- iInfstatement and proof · cited by 1,690
- EquicontinuousAtstatement · cited by 39
- EquicontinuousWithinAtproof · cited by 24
- equicontinuousWithinAt_univproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- WithSeminorms.equicontinuous_TFAEproof · cited by 2