Theorems · Theorem · general topology
tendstoUniformly_iff_tendstoUniformlyOnFilter
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_4} [inst : UniformSpace β] {F : ι → α → β} {f : α → β} {p : Filter ι},
TendstoUniformly F f p ↔ TendstoUniformlyOnFilter F f p ⊤- Cited by
- 4 results in Mathlib
- Foundations
- Depth 65 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Filterstatement and proof · cited by 8,121
- UniformSpacestatement and proof · cited by 2,040
- TendstoUniformlystatement · cited by 75
- TendstoUniformlyOnFilterstatement and proof · cited by 50
- Filter.principal_univproof · cited by 46
- tendstoUniformlyOn_iff_tendstoUniformlyOnFilterproof · cited by 13
- tendstoUniformlyOn_univproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- TendstoUniformly.tendstoUniformlyOnFilterproof · cited by 2
- TendstoUniformly.compproof · cited by 1
- Filter.Tendsto.tendstoUniformly_constproof · cited by 0
- tendsto_prod_top_iffproof · cited by 0