Theorems · Theorem · measure theory
ENNReal.tsum_le_tsum
∀ {α : Type u_1} {f g : α → ENNReal}, (∀ (a : α), f a ≤ g a) → ∑' (a : α), f a ≤ ∑' (a : α), g a- Cited by
- 43 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.tsum_le_tsumproof · cited by 27
Cited by43
Results whose statement or proof uses this declaration.
- MeasureTheory.TendstoInMeasure.exists_seq_tendsto_aeproof · cited by 5
- VitaliFamily.measure_le_of_frequently_leproof · cited by 5
- MeasureTheory.OuterMeasure.le_ofFunctionproof · cited by 5
- MeasureTheory.addHaar_image_le_mul_of_det_ltproof · cited by 4
- MeasureTheory.OuterMeasure.comap_iInfproof · cited by 3
- PMF.tsum_coe_indicator_ne_topproof · cited by 3
- volume_iUnion_setOfPred_liouvilleWithproof · cited by 2
- MeasureTheory.OuterMeasure.ofFunction_caratheodoryproof · cited by 2
- MeasureTheory.OuterMeasure.ofFunction_union_of_top_of_nonempty_interproof · cited by 2
- MeasureTheory.OuterMeasure.comap_ofFunctionproof · cited by 2
- HolderOnWith.hausdorffMeasure_image_leproof · cited by 2
- MeasureTheory.exists_le_lowerSemicontinuous_lintegral_geproof · cited by 2