Axiom schema of specification
= Axiom schema of specification
{wiki}
= Axiom schema of separation
{synonym}
= Axiom of separation
{synonym}
= Separation
{synonym}
For each formula $\varphi$, the axiom schema of specification forms the subset
$$
\{z\in x:\varphi(z)\}
$$
of any set $x$. When interpreting the schema inside a class model, the formula must be evaluated internally.