Theorems · Inductive type · sequences and series
SummationFilter.LeAtTop
{β : Type u_2} → SummationFilter β → PropTypeclass asserting that a summation filter L is consistent with unconditional summation,
so that any unconditionally-summable function is L-summable with the same sum.
- Cited by
- 80 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SummationFilterstatement · cited by 607
Cited by82
Results whose statement or proof uses this declaration.
- tsum_fintypestatement and proof · cited by 38
- tsum_eq_singlestatement and proof · cited by 19
- MvPowerSeries.coeff_substproof · cited by 15
- hasSum_fintypestatement and proof · cited by 15
- Summable.sum_le_tsumstatement and proof · cited by 14
- tsum_eq_sumstatement and proof · cited by 11
- SummationFilter.support_eq_univstatement and proof · cited by 10
- hasSum_singlestatement and proof · cited by 10
- SummationFilter.LeAtTop.le_atTopstatement and proof · cited by 9
- tsum_ite_eqstatement and proof · cited by 8
- tprod_fintypestatement and proof · cited by 7
- sum_le_hasSumstatement and proof · cited by 7