Theorems · Theorem · measure theory
Measurable.forall
∀ {α : Type u_1} {ι : Sort uι} [inst : MeasurableSpace α] [Countable ι] {p : ι → α → Prop},
(∀ (i : ι), Measurable (p i)) → Measurable fun a => ∀ (i : ι), p i a- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceCountable
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.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetproof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- Countablestatement and proof · cited by 633
- Set.ofPred_forallproof · cited by 48
- MeasurableSet.iInterproof · cited by 31
- measurableSet_setOfPredproof · cited by 19
- Measurable.setOfproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.measurableEmbedding_edgeSetproof · cited by 3
- Measurable.subsetproof · cited by 1