Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.mass_comap_le
∀ {Ω : Type u_1} {Ω' : Type u_2} [inst : MeasurableSpace Ω] [inst_1 : MeasurableSpace Ω'] (f : Ω → Ω')
(μ : MeasureTheory.FiniteMeasure Ω'), (MeasureTheory.FiniteMeasure.comap f μ).mass ≤ μ.mass- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.imageproof · cited by 5,609
- NNRealstatement · cited by 4,310
- Set.univproof · cited by 3,945
- LE.le.transproof · cited by 3,151
- MeasureTheory.measure_monoproof · cited by 338
- Set.subset_univproof · cited by 228
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.Measure.comapproof · cited by 96
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
- MeasureTheory.FiniteMeasure.massstatement · cited by 46
- MeasureTheory.FiniteMeasure.comapstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- isCompact_setOfPred_finiteMeasure_le_of_isCompactproof · cited by 2