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Theorems · Theorem · general topology

TendstoUniformly.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 ⊤
Defined in
Mathlib.Topology.UniformSpace.UniformConvergence
Cited by
2 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TendstoUniformly.tendsto_at · cited by 2TendstoUniformly.tendsto_…TendstoUniformly.tendsto_of_eventually_tendsto · cited by 0TendstoUniformly.tendsto_…Top.top · cited by 9680Top.topFilter · cited by 8121FilterUniformSpace · cited by 2040UniformSpaceTendstoUniformly · cited by 75TendstoUniformlyTendstoUniformlyOnFilter · cited by 50TendstoUniformlyOnFiltertendstoUniformly_iff_tendstoUniformlyOnFilter · cited by 4tendstoUniformly_iff_tend…TendstoUniformly.tendstoUnifo…CITED BYCITES

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Cited by2

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