Theorems · Theorem · measure theory

intervalIntegral.integral_comp_sub_right

∀ {E : Type u_5} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {a b : ℝ} (f : ℝ → E) (d : ℝ),
  ∫ (x : ℝ) in a..b, f (x - d) = ∫ (x : ℝ) in a - d..b - d, f x

Defined in

Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic

Cited by

3 results in Mathlib

Foundations

Depth 258 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace