Theorems · Theorem · measure theory
MeasureTheory.Measure.exists_eq_disjoint_finiteSpanningSetsIn
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ ν : MeasureTheory.Measure α) [MeasureTheory.SigmaFinite μ]
[MeasureTheory.SigmaFinite ν], ∃ S T, S.set = T.set ∧ Pairwise (Function.onFun Disjoint S.set)- Cited by
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- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.ofPredstatement and proof · cited by 6,101
- MeasurableSetstatement and proof · cited by 3,075
- Disjointstatement · cited by 2,201
- le_rflproof · cited by 1,558
- Function.onFunstatement · cited by 570
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- Pairwisestatement · cited by 516
- disjoint_disjointedproof · cited by 25
- MeasureTheory.Measure.FiniteSpanningSetsInstatement and proof · cited by 23
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