Theorems · Theorem · measure theory
measurableAtom_subset
∀ {β : Type u_2} [inst : MeasurableSpace β] {s : Set β} {x : β}, MeasurableSet s → x ∈ s → measurableAtom x ⊆ s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 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.
Cites7
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
- Set.iInter_congr_Propproof · cited by 170
- measurableAtomstatement · cited by 19
- Set.iInter_trueproof · cited by 17
- Set.iInter₂_subset_of_subsetproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- measurableAtom_of_measurableSingletonClassproof · cited by 2