Theorems · Theorem · general topology
uniformEquicontinuous_iInf_rng
∀ {ι : Type u_1} {κ : Type u_2} {α' : Type u_7} {β : Type u_8} [uβ : UniformSpace β] {u : κ → UniformSpace α'}
{F : ι → β → α'}, UniformEquicontinuous F ↔ ∀ (k : κ), UniformEquicontinuous F- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- UniformSpacestatement and proof · cited by 2,040
- iInfstatement and proof · cited by 1,690
- UniformContinuousproof · cited by 410
- Function.swapproof · cited by 216
- UniformFunproof · cited by 106
- UniformFun.ofFunproof · cited by 78
- UniformEquicontinuousstatement · cited by 35
- uniformEquicontinuous_iff_uniformContinuousproof · cited by 9
- UniformFun.iInf_eqproof · cited by 6
- uniformContinuous_iInf_rngproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- WithSeminorms.equicontinuous_TFAEproof · cited by 2