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Axiom schema of specification
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For each formula
φ
, the axiom schema of specification forms the subset
{
z
∈
x
:
φ
(
z
)}
(6)
of any set
x
. When interpreting the schema inside a class model, the formula must be evaluated internally.
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Relativized closure criterion for separation
Axiom schema of specification
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Set theory
Foundations of mathematics
Area of mathematics
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Axiom schema of separation