Theorems · Theorem · measure theory
MeasurableSet.union
∀ {α : Type u_1} {m : MeasurableSpace α} {s₁ s₂ : Set α}, MeasurableSet s₁ → MeasurableSet s₂ → MeasurableSet (s₁ ∪ s₂)- Cited by
- 55 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- MeasurableSetstatement and proof · cited by 3,075
- MeasurableSet.iUnionproof · cited by 81
- Set.union_eq_iUnionproof · cited by 28
Cited by55
Results whose statement or proof uses this declaration.
- MeasurableSet.interproof · cited by 167
- MeasurableEmbedding.map_applyproof · cited by 16
- MeasureTheory.IsStoppingTime.minproof · cited by 12
- ContinuousOn.aemeasurableproof · cited by 4
- MeasurableSet.image_of_monotoneOnproof · cited by 4
- Set.OrdConnected.measurableSetproof · cited by 4
- MeasurableSet.symmDiffproof · cited by 4
- MeasureTheory.IsStoppingTime.measurableSpace_minproof · cited by 4
- MeasurableSet.insertproof · cited by 3
- MeasureTheory.NullMeasurableSet.exists_measurable_superset_ae_eqproof · cited by 3
- MeasureTheory.lintegral_image_eq_lintegral_deriv_mul_of_monotoneOnproof · cited by 3
- MeasureTheory.NullMeasurableSet.unionproof · cited by 3