Theorems · Theorem · sequences and series
SummationFilter.eventually_mem_or_not_mem
∀ {β : Type u_2} (L : SummationFilter β) [L.HasSupport] (b : β),
(∀ᶠ (s : Finset β) in L.filter, b ∈ s) ∨ ∀ᶠ (s : Finset β) in L.filter, b ∉ s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SummationFilter.HasSupport
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Filter.Eventuallystatement and proof · cited by 3,134
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- SummationFilterstatement and proof · cited by 607
- SummationFilter.filterstatement and proof · cited by 110
- SummationFilter.HasSupportstatement and proof · cited by 38
- SummationFilter.supportproof · cited by 36
- Set.notMem_subsetproof · cited by 18
- SummationFilter.HasSupport.eventually_le_supportproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- hasProd_fintype_supportproof · cited by 2
- hasSum_fintype_supportproof · cited by 2