Theorems · Theorem · sequences and series
Finset.tsum_subtype
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] (s : Finset β) (f : β → α),
∑' (x : ↥s), f ↑x = ∑ x ∈ s, f x- Cited by
- 7 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement · cited by 5,195
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tsumstatement and proof · cited by 1,148
- Finset.sum_attachproof · cited by 54
- tsum_fintypeproof · cited by 38
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_biUnion_finset_leproof · cited by 10
- MeasureTheory.Measure.count_apply_infiniteproof · cited by 5
- cauchySeq_finset_iff_tsum_vanishingproof · cited by 3
- rel_iSup_sumproof · cited by 2
- BoxIntegral.integrable_of_bounded_and_ae_continuousWithinAtproof · cited by 2
- ENNReal.tsum_biUnion_leproof · cited by 0
- MeasureTheory.Measure.sum_restrict_leproof · cited by 0