Theorems · Theorem · sequences and series
Summable.tendsto_zero_of_even_summable_symmetricIcc
∀ {F : Type u_2} [inst : NormedAddCommGroup F] [NormSMulClass ℤ F] {f : ℤ → F},
Summable f (SummationFilter.symmetricIcc ℤ) → Function.Even f → Filter.Tendsto f Filter.atTop (nhds 0)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites47
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Finsetproof · cited by 13,712
- Filterproof · cited by 8,121
- Preorderproof · cited by 7,952
- nhdsstatement and proof · cited by 5,554
- Norm.normproof · cited by 5,413
- Finset.sumproof · cited by 5,195
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- MulZeroClass.mul_zeroproof · cited by 2,091
- absproof · cited by 1,814
Cited by1
Results whose statement or proof uses this declaration.
- EisensteinSeries.tendsto_e2Summand_atTop_nhds_zeroproof · cited by 2