Theorems · Theorem · general topology
uniformEquicontinuousOn_univ
∀ {ι : Type u_1} {α : Type u_6} {β : Type u_8} [uα : UniformSpace α] [uβ : UniformSpace β] (F : ι → β → α),
UniformEquicontinuousOn F Set.univ ↔ UniformEquicontinuous F- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.univstatement · cited by 3,945
- Filter.Eventuallyproof · cited by 3,134
- UniformSpacestatement and proof · cited by 2,040
- uniformityproof · cited by 765
- Filter.principalproof · cited by 740
- inf_of_le_leftproof · cited by 186
- Filter.principal_univproof · cited by 46
- UniformEquicontinuousstatement · cited by 35
- Set.univ_prod_univproof · cited by 32
- UniformEquicontinuousOnstatement · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- UniformEquicontinuous.closure'proof · cited by 1
- Filter.Tendsto.uniformContinuous_of_uniformEquicontinuousproof · cited by 0