Theorems · Theorem · sequences and series
SummationFilter.LeAtTop.le_atTop
∀ {β : Type u_2} {L : SummationFilter β} [self : L.LeAtTop], L.filter ≤ Filter.atTop- Cited by
- 9 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SummationFilter.LeAtTop
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- SummationFilterstatement and proof · cited by 607
- SummationFilter.filterstatement · cited by 110
- SummationFilter.LeAtTopstatement and proof · cited by 80
Cited by9
Results whose statement or proof uses this declaration.
- SummationFilter.support_eq_univproof · cited by 10
- sum_le_hasSumproof · cited by 7
- hasSum_sum_of_ne_finset_zeroproof · cited by 5
- prod_le_hasProdproof · cited by 3
- hasProd_zero_of_exists_eq_zeroproof · cited by 3
- hasProd_prod_of_ne_finset_oneproof · cited by 1
- tsum_eq_of_summable_unconditionalproof · cited by 0
- SummationFilter.eq_unconditional_of_finiteproof · cited by 0
- tprod_eq_of_multipliable_unconditionalproof · cited by 0