Theorems · Theorem · measure theory

MeasureTheory.Measure.isProbabilityMeasure_of_map

∀ {α : Type u_1} {β : Type u_2} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  (f : α → β) [MeasureTheory.IsProbabilityMeasure (MeasureTheory.Measure.map f μ)], MeasureTheory.IsProbabilityMeasure μ

Defined in

Mathlib.MeasureTheory.Measure.Typeclasses.Probability

Cited by

2 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasureTheory.IsProbabilityMeasure