Let $F : \mathbb{R} \to \mathbb{R}$ be a D4364: Real function such that

(i)	$F$ is a D3249: Right-continuous function
(ii)	$F$ is a D5321: Standard-isotone basic real function

An D548: Ordered pair $M = (\mathbb{R}, \mathcal{S})$ is a Stieltjes measurable space with respect to $F$ if and only if

(1)	$\mathbb{R}$ is the D282: Set of real numbers
(2)	$\mathcal{S}$ is the D1860: Stieltjes sigma-algebra on $\mathbb{R}$ with respect to $F$