Theorems · Theorem · measure theory

MeasureTheory.integrableOn_const

∀ {α : Type u_1} {ε' : Type u_4} {mα : MeasurableSpace α} {s : Set α} {μ : MeasureTheory.Measure α}
  [inst : TopologicalSpace ε'] [inst_1 : ESeminormedAddMonoid ε'] {C : ε'},
  autoParam (μ s ≠ ⊤) MeasureTheory.integrableOn_const._auto_1 →
    autoParam (‖C‖ₑ ≠ ⊤) MeasureTheory.integrableOn_const._auto_3 → MeasureTheory.IntegrableOn (fun x => C) s μ

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

15 results in Mathlib

Foundations

Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceESeminormedAddMonoid