Theorems · Theorem · measure theory
measurableSet_setOfPred
∀ {α : Type u_1} [inst : MeasurableSpace α] {p : α → Prop}, MeasurableSet {a | p a} ↔ Measurable p- Cited by
- 19 results in Mathlib
- Foundations
- Depth 70 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.
- MeasurableSpacestatement and proof · cited by 13,106
- Set.ofPredstatement and proof · cited by 6,101
- MeasurableSetstatement and proof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- MeasurableSingletonClass.measurableSet_singletonproof · cited by 53
- Set.preimage_singleton_trueproof · cited by 5
- measurable_to_propproof · cited by 2
Cited by19
Results whose statement or proof uses this declaration.
- Measurable.setOfproof · cited by 8
- measurable_leproof · cited by 4
- Measurable.eqproof · cited by 3
- Measurable.eq_constproof · cited by 3
- Measurable.andproof · cited by 2
- ProbabilityTheory.HasLaw.ae_iffproof · cited by 2
- Measurable.forallproof · cited by 2
- measurable_ltproof · cited by 2
- Measurable.impproof · cited by 2
- Measurable.notproof · cited by 2
- measurable_memproof · cited by 1
- measurableSet_notMemproof · cited by 0