Theorems · Theorem · measure theory

IntervalIntegrable.mono_measure

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

Defined in

Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic

Cited by

0 results in Mathlib

Foundations

Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceENormedAddMonoidTopologicalSpace.PseudoMetrizableSpace