Theorems · Theorem · sequences and series
SummationFilter.multipliable_symmetricIco_of_multipliable_symmetricIcc
∀ {α : Type u_1} {f : ℤ → α} [inst : CommGroup α] [inst_1 : TopologicalSpace α] [ContinuousMul α],
Multipliable f (SummationFilter.symmetricIcc ℤ) →
Filter.Tendsto (fun N => (f ↑N)⁻¹) Filter.atTop (nhds 1) → Multipliable f (SummationFilter.symmetricIco ℤ)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- CommGroupstatement and proof · cited by 990
- ContinuousMulstatement and proof · cited by 343
- Multipliablestatement and proof · cited by 213
- Multipliable.hasProdproof · cited by 88
- HasProd.multipliableproof · cited by 40
- SummationFilter.symmetricIcostatement · cited by 17
- SummationFilter.symmetricIccstatement and proof · cited by 16
- HasProd.hasProd_symmetricIco_of_hasProd_symmetricIccproof · cited by 2
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