Theorems · Theorem · sequences and series
hasSum_subtype_iff_indicator
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α} {a : α} {s : Set β},
HasSum (f ∘ Subtype.val) a ↔ HasSum (s.indicator f) a- Cited by
- 6 results in Mathlib
- Foundations
- Depth 83 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
- Set.Elemstatement and proof · cited by 7,166
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Set.indicatorstatement and proof · cited by 723
- HasSumstatement and proof · cited by 518
- Subtype.range_coeproof · cited by 98
- Set.support_indicator_subsetproof · cited by 4
- hasSum_subtype_iff_of_support_subsetproof · cited by 3
- Set.indicator_range_compproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- HasSum.add_isComplproof · cited by 4
- HasSum.hasSum_compl_iffproof · cited by 3
- summable_subtype_iff_indicatorproof · cited by 3
- hasSum_sum_disjointproof · cited by 1
- HasSum.add_disjointproof · cited by 1
- Nat.Primes.hasSum_iff_hasSum_iteproof · cited by 0