Theorems · Theorem · measure theory
ENNReal.tsum_le_of_sum_range_le
∀ {f : ℕ → ENNReal} {c : ENNReal}, (∀ (n : ℕ), ∑ i ∈ Finset.range n, f i ≤ c) → ∑' (n : ℕ), f n ≤ c- Cited by
- 1 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.
Cites7
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
- Finset.sumstatement and proof · cited by 5,195
- SummationFilter.unconditionalstatement · cited by 2,068
- Finset.rangestatement and proof · cited by 1,341
- tsumstatement · cited by 1,148
- ENNReal.summableproof · cited by 59
- Summable.tsum_le_of_sum_range_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.preVariation.sum_le_preVariationFun_iUnionproof · cited by 1