Theorems · Theorem · measure theory

MeasureTheory.integral_comp_mul_left_Ioi

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] (g : ℝ → E) (a : ℝ) {b : ℝ},
  0 < b → ∫ (x : ℝ) in Set.Ioi a, g (b * x) = b⁻¹ • ∫ (x : ℝ) in Set.Ioi (b * a), g x

Defined in

Mathlib.MeasureTheory.Integral.IntegralEqImproper

Cited by

5 results in Mathlib

Foundations

Depth 259 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace