Theorems · Definition · measure theory

MeasureTheory.SimpleFunc.setToSimpleFunc

{α : Type u_1} →
  {F : Type u_3} →
    {F' : Type u_4} →
      [inst : NormedAddCommGroup F] →
        [inst_1 : NormedSpace ℝ F] →
          [inst_2 : NormedAddCommGroup F'] →
            [inst_3 : NormedSpace ℝ F'] →
              {x : MeasurableSpace α} → (Set α → F →L[ℝ] F') → MeasureTheory.SimpleFunc α F → F'

Extend Set α → (F →L[ℝ] F') to (α →ₛ F) → F'.

Defined in

Mathlib.MeasureTheory.Integral.FinMeasAdditive

Cited by

40 results in Mathlib

Foundations

Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace