English
The previous zero-or-probability property together with indepences ensures the conditional measure remains well-defined under negations.
Русский
Свойство нулевой или вероятностной меры вместе с независимостью обеспечивает корректность условной меры под отрицанием.
LaTeX
$$$\\text{cond is well-defined under independent operations}$$$
Lean4
/-- The conditional probability measure of measure `μ` on set `{ω | X ω = x}`.
It is `μ` restricted to `{ω | X ω = x}` and scaled by the inverse of `μ {ω | X ω = x}`
(to make it a probability measure): `(μ {ω | X ω = x})⁻¹ • μ.restrict {ω | X ω = x}`. -/
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(ParserDescr.symbol✝ "["))
(ParserDescr.cat✝ `term 0))
(ParserDescr.symbol✝ " | "))
(ParserDescr.cat✝ `term 0))
(ParserDescr.symbol✝ " in "))
(ParserDescr.cat✝ `term 0))
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