condExp — Mathlib

English

The subtype of functions AEStronglyMeasurable under m is complete as a normed space whenever suitable hypotheses hold.

Русский

Подмножество AEStronglyMeasurable подмножества относительно m полно как нормированное пространство при подходящих условиях.

LaTeX

$$$\text{CompleteSpaceSubtypeAEEqFunMemAddSubgroupLpLpMeasSubgroupOfFactLeMeasurableSpace}$$$

Lean4

/-- Conditional expectation of a function, with notation `μ[f|m]`.

It is defined as 0 if any one of the following conditions is true:
- `m` is not a sub-σ-algebra of `m₀`,
- `μ` is not σ-finite with respect to `m`,
- `f` is not integrable. -/
noncomputable def condExp :=
  val_proj @wrapped✝.{}

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