Theorems · Theorem · Lie groups
TendstoLocallyUniformly.fun_div
∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {ι : Type u_3} {X : Type u_4}
[inst_3 : TopologicalSpace X] {F G : ι → X → α} {f g : X → α} {l : Filter ι},
TendstoLocallyUniformly F f l →
TendstoLocallyUniformly G g l → TendstoLocallyUniformly (fun i i_1 => F i i_1 / G i i_1) (fun i => f i / g i) lEta-expanded form of TendstoLocallyUniformly.div
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- Foundations
- Depth 80 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.
- TopologicalSpacestatement · cited by 24,529
- Filterstatement · cited by 8,121
- Groupstatement · cited by 6,238
- UniformSpacestatement · cited by 2,040
- IsUniformGroupstatement · cited by 145
- TendstoLocallyUniformlystatement · cited by 59
- TendstoLocallyUniformly.divproof · cited by 1
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