Theorems · Theorem · measure theory

MeasureTheory.average_const

∀ {α : Type u_1} {E : Type u_2} {m0 : MeasurableSpace α} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
  [CompleteSpace E] (μ : MeasureTheory.Measure α) [MeasureTheory.IsFiniteMeasure μ] [h : NeZero μ] (c : E),
  ⨍ (_x : α), c ∂μ = c

Defined in

Mathlib.MeasureTheory.Integral.Average

Cited by

1 results in Mathlib

Foundations

Depth 254 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceCompleteSpaceMeasureTheory.IsFiniteMeasureNeZero