Theorems · Theorem · sequences and series
SummationFilter.eq_unconditional_of_finite
∀ {β : Type u_4} [Finite β] (L : SummationFilter β) [L.LeAtTop] [L.NeBot], L = SummationFilter.unconditional βIf β is finite, then unconditional β is the only summation filter L on β satisfying
L.LeAtTop and L.NeBot.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Finsetproof · cited by 13,712
- Top.topproof · cited by 9,680
- Filterproof · cited by 8,121
- Fintypeproof · cited by 7,736
- Finset.univproof · cited by 3,473
- Finitestatement and proof · cited by 3,029
- Filter.atTopproof · cited by 2,405
- SummationFilter.unconditionalstatement · cited by 2,068
- Set.Iciproof · cited by 1,070
- Filter.principalproof · cited by 740
- SummationFilterstatement and proof · cited by 607
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.