Theorems · Theorem · measure theory

MeasureTheory.lpMeasSubgroupToLpTrim_right_inv

∀ {α : Type u_1} {F : Type u_2} {p : ENNReal} [inst : NormedAddCommGroup F] {m m0 : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} (hm : m ≤ m0),
  Function.RightInverse (MeasureTheory.lpTrimToLpMeasSubgroup F p μ hm) (MeasureTheory.lpMeasSubgroupToLpTrim F p μ hm)

lpTrimToLpMeasSubgroup is a right inverse of lpMeasSubgroupToLpTrim.

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable

Cited by

0 results in Mathlib

Foundations

Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup