Theorems · Theorem · measure theory
NNReal.tsum_eq_toNNReal_tsum
∀ {β : Type u_2} {f : β → NNReal}, ∑' (b : β), f b = (∑' (b : β), ↑(f b)).toNNReal- Cited by
- 3 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- ENNReal.ofNNRealstatement · cited by 1,279
- tsumstatement and proof · cited by 1,148
- Summableproof · cited by 778
- ENNReal.toNNRealstatement and proof · cited by 165
- tsum_eq_zero_of_not_summableproof · cited by 27
- ENNReal.toNNReal_coeproof · cited by 10
- ENNReal.coe_tsumproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- ENNReal.tsum_toNNReal_eqproof · cited by 1
- AEMeasurable.nnreal_tsumproof · cited by 0
- Measurable.nnreal_tsumproof · cited by 0