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ENNReal.le_tsum_of_forall_lt_exists_sum

∀ {α : Type u_1} {a : ENNReal} {f : α → ENNReal}, (∀ b < a, ∃ I, b < ∑ i ∈ I, f i) → a ≤ ∑' (i : α), f i
Defined in
Mathlib.Topology.Algebra.InfiniteSum.ENNReal
Cited by
1 results in Mathlib
Foundations
Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasureTheory.preVariation.iUnion · cited by 0preVariation.iUnionFinset · cited by 13712FinsetENNReal · cited by 9879ENNRealFinset.sum · cited by 5195Finset.sumSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…tsum · cited by 1148tsumlt_of_lt_of_le · cited by 438lt_of_lt_of_lele_of_forall_lt · cited by 25le_of_forall_ltENNReal.sum_le_tsum · cited by 10ENNReal.sum_le_tsumENNReal.le_tsum_of_forall_lt_…CITED BYCITES

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