Theorems · Theorem · measure theory
MeasureTheory.measure_biUnion_ne_top
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {s : Set β} {f : β → Set α},
s.Finite → (∀ i ∈ s, μ (f i) ≠ ⊤) → μ (⋃ i ∈ s, f i) ≠ ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Set.iUnionstatement · cited by 2,483
- Set.Finitestatement and proof · cited by 1,814
- LT.lt.neproof · cited by 872
- Ne.lt_topproof · cited by 161
- MeasureTheory.measure_biUnion_lt_topproof · cited by 8
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