Theorems · Theorem · measure theory
Pairwise.aedisjoint
∀ {ι : Type u_1} {α : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : ι → Set α},
Pairwise (Function.onFun Disjoint f) → Pairwise (Function.onFun (MeasureTheory.AEDisjoint μ) f)- Defined in
- Mathlib.MeasureTheory.Measure.AEDisjoint
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Disjointstatement and proof · cited by 2,201
- Function.onFunstatement and proof · cited by 570
- Pairwisestatement and proof · cited by 516
- MeasureTheory.AEDisjointstatement · cited by 87
- Pairwise.monoproof · cited by 29
- Disjoint.aedisjointproof · cited by 29
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_iUnionproof · cited by 5
- MeasureTheory.Measure.restrict_iUnionproof · cited by 2
- MeasureTheory.IsAddFundamentalDomain.exists_ne_zero_vadd_eqproof · cited by 0
- MeasureTheory.IsFundamentalDomain.exists_ne_one_smul_eqproof · cited by 0
- MeasureTheory.Measure.restrict_iUnion_applyproof · cited by 0