Theorems · Theorem · sequences and series
SummationFilter.unconditional_filter
∀ (β : Type u_2), (SummationFilter.unconditional β).filter = Filter.atTop
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Filterstatement · cited by 8,121
- Filter.atTopstatement · cited by 2,405
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- SummationFilter.filterstatement and proof · cited by 110
Cited by6
Results whose statement or proof uses this declaration.
- hasSumUniformlyOn_iff_tendstoUniformlyOnproof · cited by 12
- hasProdUniformlyOn_iff_tendstoUniformlyOnproof · cited by 7
- hasSumUniformly_iff_tendstoUniformlyproof · cited by 4
- hasProdUniformly_iff_tendstoUniformlyproof · cited by 2
- PowerSeries.coeff_prod_one_sub_X_pow_eventually_eqproof · cited by 1
- PowerSeries.WithPiTopology.hasProd_one_sub_X_powproof · cited by 1