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NNReal.tsum_lt_tsum

∀ {α : Type u_1} {f g : α → NNReal} {i : α},
  (∀ (a : α), f a ≤ g a) → f i < g i → Summable g → ∑' (n : α), f n < ∑' (n : α), g n
Defined in
Mathlib.Topology.Algebra.InfiniteSum.ENNReal
Cited by
2 results in Mathlib
Foundations
Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NNReal.tsum_pos · cited by 0NNReal.tsum_posNNReal.tsum_strict_mono · cited by 0NNReal.tsum_strict_monoNNReal · cited by 4310NNRealSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…tsum · cited by 1148tsumSummable · cited by 778SummableSummable.hasSum · cited by 184Summable.hasSumNNReal.summable_of_le · cited by 8NNReal.summable_of_leNNReal.hasSum_lt · cited by 3NNReal.hasSum_ltNNReal.tsum_lt_tsumCITED BYCITES

Cites7

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Cited by2

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