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Theorems · Theorem · measure theory

ENNReal.tsum_top

∀ {α : Type u_1} [Nonempty α], ∑' (x : α), ⊤ = ⊤
Defined in
Mathlib.Topology.Algebra.InfiniteSum.ENNReal
Cited by
1 results in Mathlib
Foundations
Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Nonempty
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Around this declaration

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

MeasureTheory.OuterMeasure.sInf_apply' · cited by 1OuterMeasure.sInf_apply'ENNReal · cited by 9879ENNRealTop.top · cited by 9680Top.topSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…tsum · cited by 1148tsumENNReal.tsum_eq_top_of_eq_top · cited by 5ENNReal.tsum_eq_top_of_eq…ENNReal.tsum_topCITED BYCITES

Cites5

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.