Theorems · Theorem · measure theory

MeasureTheory.OuterMeasure.map_ofFunction

∀ {α : Type u_1} {m : Set α → ENNReal} {m_empty : m ∅ = 0} {β : Type u_2} {f : α → β},
  Function.Injective f →
    (MeasureTheory.OuterMeasure.map f) (MeasureTheory.OuterMeasure.ofFunction m m_empty) =
      MeasureTheory.OuterMeasure.ofFunction (fun s => m (f ⁻¹' s)) m_empty

Defined in: Mathlib.MeasureTheory.OuterMeasure.OfFunction
Cited by: 1 results in Mathlib
Foundations: Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound

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Cited by1

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MeasureTheory.OuterMeasure.restrict_ofFunctionproof · cited by 0