Theorems · Theorem · general topology
NNReal.coe_tsum_of_nonneg
∀ {α : Type u_2} {L : SummationFilter α} {f : α → ℝ} (hf₁ : ∀ (n : α), 0 ≤ f n),
NNReal.mk (∑'[L] (n : α), f n) ⋯ = ∑'[L] (n : α), NNReal.mk (f n) ⋯- Defined in
- Mathlib.Topology.Instances.NNReal.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- NNRealstatement · cited by 4,310
- tsumstatement · cited by 1,148
- SummationFilterstatement and proof · cited by 607
- NNReal.eqproof · cited by 201
- NNReal.mkstatement · cited by 94
- tsum_nonnegstatement · cited by 18
- NNReal.coe_tsumproof · cited by 6
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