Theorems · Theorem · measure theory

MeasureTheory.setIntegral_support

∀ {X : Type u_1} {M : Type u_5} [inst : NormedAddCommGroup M] [inst_1 : NormedSpace ℝ M] {mX : MeasurableSpace X}
  {ν : MeasureTheory.Measure X} {F : X → M}, ∫ (x : X) in Function.support F, F x ∂ν = ∫ (x : X), F x ∂ν

Defined in

Mathlib.MeasureTheory.Integral.Bochner.Set

Cited by

2 results in Mathlib

Foundations

Depth 259 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpace