Theorems · Theorem · sequences and series
Real.tsum_le_of_sum_range_le
∀ {f : ℕ → ℝ} {c : ℝ}, (∀ (n : ℕ), 0 ≤ f n) → (∀ (n : ℕ), ∑ i ∈ Finset.range n, f i ≤ c) → ∑' (n : ℕ), f n ≤ c- Cited by
- 0 results in Mathlib
- Foundations
- Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- 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
- Summable.tsum_le_of_sum_range_leproof · cited by 3
- summable_of_sum_range_leproof · cited by 3
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