Theorems · Theorem · measure theory
MeasureTheory.AEDisjoint.preimage
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ : MeasureTheory.Measure α}
{ν : MeasureTheory.Measure β} {f : α → β} {s t : Set β},
MeasureTheory.AEDisjoint ν s t →
MeasureTheory.Measure.QuasiMeasurePreserving f μ ν → MeasureTheory.AEDisjoint μ (f ⁻¹' s) (f ⁻¹' t)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 202 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.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.preimagestatement · cited by 4,946
- MeasureTheory.Measure.QuasiMeasurePreservingstatement and proof · cited by 101
- MeasureTheory.AEDisjointstatement and proof · cited by 87
- MeasureTheory.Measure.QuasiMeasurePreserving.preimage_nullproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.IsAddFundamentalDomain.preimage_of_equivproof · cited by 1
- MeasureTheory.IsFundamentalDomain.preimage_of_equivproof · cited by 1