Theorems · Theorem · measure theory

IntervalIntegrable.congr_ae

∀ {ε : Type u_3} [inst : TopologicalSpace ε] [inst_1 : ENormedAddMonoid ε] [TopologicalSpace.PseudoMetrizableSpace ε]
  {f : ℝ → ε} {a b : ℝ} {μ : MeasureTheory.Measure ℝ} {g : ℝ → ε},
  IntervalIntegrable f μ a b → f =ᵐ[μ.restrict (Set.uIoc a b)] g → IntervalIntegrable g μ a b

Defined in

Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic

Cited by

6 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceENormedAddMonoidTopologicalSpace.PseudoMetrizableSpace