term𝔼[_] — Mathlib

English

For a PMF p: α → ENNReal, its sum equals 1; hence the total mass is normalized.

Русский

Для любой PMF p: α → ENNReal сумма p a по a равна 1; суммарная масса нормализована.

LaTeX

$$$\sum'_{a} p(a) = 1$$$

Lean4

/-- `𝔼[X]` is the expectation of `X`, defined as its Lebesgue integral. -/
@[scoped term_parser 1000]
public meta def «term𝔼[_]» : Lean.ParserDescr✝ :=
  ParserDescr.node✝ `ProbabilityTheory.«term𝔼[_]» 1024
    (ParserDescr.binary✝ `andthen (ParserDescr.binary✝ `andthen (ParserDescr.symbol✝ "𝔼[") (ParserDescr.cat✝ `term 0))
      (ParserDescr.symbol✝ "]"))

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