Theorems · Theorem · measure theory
MeasureTheory.Measure.sum_coe_finset
∀ {α : Type u_1} {ι : Type u_5} {m0 : MeasurableSpace α} (s : Finset ι) (μ : ι → MeasureTheory.Measure α),
(MeasureTheory.Measure.sum fun i => μ ↑i) = ∑ i ∈ s, μ i- Cited by
- 1 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Finset.sumstatement and proof · cited by 5,195
- MeasureTheory.Measure.sumstatement · cited by 121
- Finset.sum_coe_sortproof · cited by 24
- MeasureTheory.Measure.sum_fintypeproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_finset_sumproof · cited by 2