Theorems · Theorem · sequences and series
Finset.summable
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] (s : Finset β) (f : β → α),
Summable (f ∘ Subtype.val)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Summablestatement · cited by 778
- HasSum.summableproof · cited by 98
- Finset.hasSumproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Finset.summable_compl_iffproof · cited by 4
- Set.Finite.summableproof · cited by 2