Theorems · Theorem · measure theory

IntervalIntegrable.trans

∀ {ε : Type u_3} [inst : TopologicalSpace ε] [inst_1 : ENormedAddMonoid ε] {f : ℝ → ε} {μ : MeasureTheory.Measure ℝ}
  [TopologicalSpace.PseudoMetrizableSpace ε] {a b c : ℝ},
  IntervalIntegrable f μ a b → IntervalIntegrable f μ b c → IntervalIntegrable f μ a c

Defined in

Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic

Cited by

15 results in Mathlib

Foundations

Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceENormedAddMonoidTopologicalSpace.PseudoMetrizableSpace