Theorems · Theorem · measure theory

IntervalIntegrable.trans_iterate_Ico

∀ {ε : Type u_3} [inst : TopologicalSpace ε] [inst_1 : ENormedAddMonoid ε] {f : ℝ → ε} {μ : MeasureTheory.Measure ℝ}
  [TopologicalSpace.PseudoMetrizableSpace ε] {a : ℕ → ℝ} {m n : ℕ},
  m ≤ n → (∀ k ∈ Set.Ico m n, IntervalIntegrable f μ (a k) (a (k + 1))) → IntervalIntegrable f μ (a m) (a n)

Defined in

Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic

Cited by

3 results in Mathlib

Foundations

Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceENormedAddMonoidTopologicalSpace.PseudoMetrizableSpace