Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.restrict_union
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] {μ : MeasureTheory.FiniteMeasure Ω} {s t : Set Ω},
Disjoint s t → MeasurableSet t → μ.restrict (s ∪ t) = μ.restrict s + μ.restrict t- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Measureproof · cited by 10,939
- MeasurableSetstatement and proof · cited by 3,075
- Disjointstatement and proof · cited by 2,201
- MeasureTheory.Measure.restrictproof · cited by 1,646
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
- MeasureTheory.FiniteMeasure.eq_of_forall_toMeasure_apply_eqproof · cited by 13
- MeasureTheory.FiniteMeasure.restrictstatement and proof · cited by 10
- MeasureTheory.Measure.restrict_unionproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2