Theorems · Theorem · measure theory

MeasureTheory.Measure.pi_map_eval

∀ {ι : Type u_1} {α : ι → Type u_3} [inst : Fintype ι] [inst_1 : (i : ι) → MeasurableSpace (α i)]
  (μ : (i : ι) → MeasureTheory.Measure (α i)) [∀ (i : ι), MeasureTheory.SigmaFinite (μ i)] [inst_3 : DecidableEq ι]
  (i : ι),
  MeasureTheory.Measure.map (Function.eval i) (MeasureTheory.Measure.pi μ) =
    (∏ j ∈ Finset.univ.erase i, (μ j) Set.univ) • μ i

Defined in

Mathlib.MeasureTheory.Constructions.Pi

Cited by

2 results in Mathlib

Foundations

Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeMeasurableSpaceMeasureTheory.SigmaFiniteDecidableEq