Theorems · Theorem · measure theory
ENNReal.sum_add_tsum_compl
∀ {ι : Type u_4} (s : Finset ι) (f : ι → ENNReal), ∑ i ∈ s, f i + ∑' (i : ↑(↑s)ᶜ), f ↑i = ∑' (i : ι), f i- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- ENNRealstatement and proof · cited by 9,879
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement · cited by 7,166
- Finset.sumstatement and proof · cited by 5,195
- Compl.complstatement and proof · cited by 2,925
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tsumstatement and proof · cited by 1,148
- Set.indicatorproof · cited by 723
- tsum_subtypeproof · cited by 6
- Set.indicator_self_add_compl_applyproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.