Theorems · Theorem · measure theory

MeasureTheory.integral_comp_exp_Ioi

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] (g : ℝ → E) (a : ℝ),
  ∫ (x : ℝ) in Set.Ioi a, Real.exp x • g (Real.exp x) = ∫ (y : ℝ) in Set.Ioi (Real.exp a), g y

Substitution y = exp x in integrals over Ioi a

Defined in

Mathlib.MeasureTheory.Integral.IntegralEqImproper

Cited by

1 results in Mathlib

Foundations

Depth 279 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace