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Theorems · Theorem · measure theory

Summable.countable_support_nnreal

∀ {α : Type u_1} (f : α → NNReal), Summable f → (Function.support f).Countable

Summable non-negative functions have countable support

Defined in
Mathlib.Topology.Algebra.InfiniteSum.ENNReal
Cited by
1 results in Mathlib
Foundations
Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
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Summable.countable_support_ennreal · cited by 3Summable.countable_suppor…Set.ofPred · cited by 6101Set.ofPredNNReal · cited by 4310NNRealSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…Summable · cited by 778SummableFunction.support · cited by 610Function.supportSet.Countable · cited by 545Set.CountableNNReal.summable_coe · cited by 15NNReal.summable_coeSummable.countable_support · cited by 2Summable.countable_supportSummable.countable_support_nn…CITED BYCITES

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