Theorems · Theorem · measure theory

IntervalIntegrable.mono

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

Defined in

Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic

Cited by

3 results in Mathlib

Foundations

Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceENormedAddMonoidTopologicalSpace.PseudoMetrizableSpace