Theorems · Theorem · measure theory
ENNReal.tsum_comm
∀ {α : Type u_1} {β : Type u_2} {f : α → β → ENNReal}, ∑' (a : α) (b : β), f a b = ∑' (b : β) (a : α), f a b- Cited by
- 8 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.
Cites5
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
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- ENNReal.summableproof · cited by 59
- Summable.tsum_comm'proof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- PMF.bind_bindproof · cited by 3
- PMF.toOuterMeasure_bind_applyproof · cited by 2
- PMF.toOuterMeasure_bindOnSupport_applyproof · cited by 1
- MeasureTheory.SimpleFunc.lintegral_sumproof · cited by 1
- MeasureTheory.Measure.sum_commproof · cited by 1
- PMF.bindOnSupport_bindOnSupportproof · cited by 0
- PMF.bindOnSupport_commproof · cited by 0
- PMF.bind_commproof · cited by 0