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Theorems · Theorem · measure theory

ENNReal.tsum_one

∀ {α : Type u_4}, ∑' (x : α), 1 = ↑(ENat.card α)
Defined in
Mathlib.Topology.Algebra.InfiniteSum.ENNReal
Cited by
1 results in Mathlib
Foundations
Depth 141 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.

MeasureTheory.Measure.count_apply · cited by 3Measure.count_applyENNReal · cited by 9879ENNRealSet.Elem · cited by 7166Set.ElemSet.univ · cited by 3945Set.univSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…tsum · cited by 1148tsumENat.toENNReal · cited by 103ENat.toENNRealENat.card · cited by 89ENat.cardSet.encard_univ · cited by 15Set.encard_univtsum_univ · cited by 6tsum_univENNReal.tsum_set_one · cited by 1ENNReal.tsum_set_oneENNReal.tsum_oneCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.