Theorems · Theorem · measure theory
ENNReal.tsum_coe_eq
∀ {α : Type u_1} {r : NNReal} {f : α → NNReal}, HasSum f r → ∑' (a : α), ↑(f a) = ↑r- Cited by
- 6 results in Mathlib
- Foundations
- Depth 132 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.
- ENNRealstatement · 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 · cited by 1,148
- HasSumstatement and proof · cited by 518
- HasSum.tsum_eqproof · cited by 150
- ENNReal.hasSum_coeproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- ENNReal.tsum_geometricproof · cited by 8
- ENNReal.coe_tsumproof · cited by 7
- ENNReal.exists_pos_sum_of_countableproof · cited by 4
- ENNReal.ofReal_tsum_of_nonnegproof · cited by 2
- MeasureTheory.integrableOn_iUnion_of_summable_integral_normproof · cited by 1
- NNReal.count_const_le_le_of_tsum_leproof · cited by 0