Theorems · Theorem · general topology
MeasureTheory.MeasurablySeparable.iUnion
∀ {ι : Type u_2} [Countable ι] {α : Type u_3} [inst : MeasurableSpace α] {s t : ι → Set α},
(∀ (m n : ι), MeasureTheory.MeasurablySeparable (s m) (t n)) → MeasureTheory.MeasurablySeparable (⋃ n, s n) (⋃ m, t m)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CountableMeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- MeasurableSetproof · cited by 3,075
- Set.iUnionstatement and proof · cited by 2,483
- Disjointproof · cited by 2,201
- Set.iInterproof · cited by 1,084
- Countablestatement and proof · cited by 633
- MeasurableSet.iUnionproof · cited by 81
- Disjoint.mono_rightproof · cited by 64
- Set.iUnion_subsetproof · cited by 51
- Set.iInter_subsetproof · cited by 39
- MeasurableSet.iInterproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measurablySeparable_range_of_disjointproof · cited by 1