Theorems · Theorem · Lie groups
TendstoUniformlyOn.fun_div
∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {ι : Type u_3}
{l : Filter ι} {f f' : ι → β → α} {g g' : β → α} {s : Set β},
TendstoUniformlyOn f g l s →
TendstoUniformlyOn f' g' l s → TendstoUniformlyOn (fun i i_1 => f i i_1 / f' i i_1) (fun i => g i / g' i) l sEta-expanded form of TendstoUniformlyOn.div
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- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement · cited by 8,121
- Groupstatement · cited by 6,238
- UniformSpacestatement · cited by 2,040
- IsUniformGroupstatement · cited by 145
- TendstoUniformlyOnstatement · cited by 129
- TendstoUniformlyOn.divproof · cited by 1
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