Theorems · Theorem · measure theory
MeasureTheory.Measure.ae_ae_of_ae_join
∀ {α : Type u_1} {mα : MeasurableSpace α} {m : MeasureTheory.Measure (MeasureTheory.Measure α)} {p : α → Prop},
(∀ᵐ (a : α) ∂m.join, p a) → ∀ᵐ (μ : MeasureTheory.Measure α) ∂m, ∀ᵐ (a : α) ∂μ, p a- Defined in
- Mathlib.MeasureTheory.Measure.GiryMonad
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.ofPredproof · cited by 6,101
- Filter.Eventuallystatement and proof · cited by 3,134
- MeasureTheory.aestatement and proof · cited by 2,352
- MeasureTheory.Measure.joinstatement and proof · cited by 26
- MeasureTheory.Measure.le_ae_joinproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.lintegral_joinproof · cited by 2
- MeasureTheory.Measure.aemeasurable_bindproof · cited by 1
- MeasureTheory.Measure.aemeasurable_lintegralproof · cited by 1
- AEMeasurable.ae_of_joinproof · cited by 1
- MeasureTheory.Measure.ae_ae_of_ae_bindproof · cited by 0