Theorems · Theorem · measure theory
MeasureTheory.Measure.map_mono
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ ν : MeasureTheory.Measure α}
{f : α → β}, μ ≤ ν → Measurable f → MeasureTheory.Measure.map f μ ≤ MeasureTheory.Measure.map f ν- Defined in
- Mathlib.MeasureTheory.Measure.Map
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.Measure.mapstatement · cited by 858
- Measurable.aemeasurableproof · cited by 304
- MeasureTheory.Measure.map_apply_of_aemeasurableproof · cited by 36
- MeasureTheory.Measure.le_iffproof · cited by 21
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.fst_monoproof · cited by 2
- BddAbove.convolutionExistsAtproof · cited by 1
- MeasureTheory.Measure.snd_monoproof · cited by 0