Theorems · Theorem · measure theory
Disjoint.aedisjoint
∀ {α : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s t : Set α},
Disjoint s t → MeasureTheory.AEDisjoint μ s t- Defined in
- Mathlib.MeasureTheory.Measure.AEDisjoint
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 172 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.
- DFunLike.coeproof · 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
- ENNRealproof · cited by 9,879
- Disjointstatement and proof · cited by 2,201
- MeasureTheory.measure_emptyproof · cited by 169
- MeasureTheory.AEDisjointstatement · cited by 87
- Set.disjoint_iff_inter_eq_emptyproof · cited by 49
Cited by29
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_unionproof · cited by 20
- MeasureTheory.setIntegral_unionproof · cited by 13
- MeasureTheory.measure_inter_add_sdiff₀proof · cited by 6
- Set.PairwiseDisjoint.aedisjointproof · cited by 6
- Pairwise.aedisjointproof · cited by 5
- MeasureTheory.integral_add_compl₀proof · cited by 4
- MeasureTheory.measure_symmDiff_eqproof · cited by 4
- MeasureTheory.Measure.restrict_unionproof · cited by 4
- MeasureTheory.aedisjoint_compl_rightproof · cited by 4
- MeasureTheory.IsAddFundamentalDomain.mk'proof · cited by 3
- MeasureTheory.tsum_meas_le_meas_iUnion_of_disjointproof · cited by 3
- MeasureTheory.measure_add_sdiffproof · cited by 3