ENNReal.finite_const_le_of_tsum_ne_top

∀ {ι : Type u_4} {a : ι → ENNReal}, ∑' (i : ι), a i ≠ ⊤ → ∀ {ε : ENNReal}, ε ≠ 0 → {i | ε ≤ a i}.Finite

A sum of extended nonnegative reals which is finite can have only finitely many terms above any positive threshold.

Defined in: Mathlib.Topology.Algebra.InfiniteSum.ENNReal
Cited by: 2 results in Mathlib
Foundations: Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound

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