Theorems · Theorem · measure theory
ENNReal.le_tsum
∀ {α : Type u_1} {f : α → ENNReal} (a : α), f a ≤ ∑' (a : α), f a- Cited by
- 10 results in Mathlib
- Foundations
- Depth 130 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.le_tsum'proof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.le_sumproof · cited by 9
- MeasureTheory.Measure.hausdorffMeasure_zero_singletonproof · cited by 5
- ENNReal.tsum_eq_top_of_eq_topproof · cited by 5
- MeasureTheory.extend_iUnion_le_tsum_nat'proof · cited by 3
- MeasureTheory.Measure.count_eq_zero_iffproof · cited by 3
- StieltjesFunction.outer_Iocproof · cited by 2
- MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_interproof · cited by 2
- PiCountable.min_edist_le_edist_piproof · cited by 1
- MeasureTheory.summable_norm_of_tsum_eLpNorm_ne_topproof · cited by 0
- StieltjesFunction.outer_trimproof · cited by 0