Theorems · Theorem · sequences and series
Set.Finite.summable
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {s : Set β},
s.Finite → ∀ (f : β → α), Summable (f ∘ Subtype.val)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coeproof · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Set.Finitestatement and proof · cited by 1,814
- Summablestatement and proof · cited by 778
- Set.Finite.toFinsetproof · cited by 351
- Set.Finite.coe_toFinsetproof · cited by 124
- Finset.summableproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsumproof · cited by 3
- Set.Finite.summable_compl_iffproof · cited by 2