Theorems · Theorem · general topology
equicontinuousWithinAt_iInf_dom
∀ {ι : Type u_1} {κ : Type u_2} {X' : Type u_4} {α : Type u_6} [uα : UniformSpace α] {t : κ → TopologicalSpace X'}
{F : ι → X' → α} {S : Set X'} {x₀ : X'} {k : κ}, EquicontinuousWithinAt F S x₀ → EquicontinuousWithinAt F S x₀- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterproof · cited by 8,121
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- UniformSpacestatement and proof · cited by 2,040
- iInfstatement and proof · cited by 1,690
- Filter.principalproof · cited by 740
- Function.swapproof · cited by 216
- Filter.Tendsto.mono_leftproof · cited by 125
- iInf_leproof · cited by 104
Cited by2
Results whose statement or proof uses this declaration.
- equicontinuousAt_iInf_domproof · cited by 1
- equicontinuousOn_iInf_domproof · cited by 0