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Axiom of pairing
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== Formal statement == In the [[formal language]] of the Zermelo–Fraenkel axioms, the axiom reads: :<math>\forall A \, \forall B \, \exists C \, \forall D \, [D \in C \iff (D = A \lor D = B)]</math> In words: :[[Given any]] object ''A'' and any object ''B'', [[Existential quantification|there is]] a set ''C'' such that, given any object ''D'', ''D'' is a member of ''C'' [[if and only if]] ''D'' is [[equal (math)|equal]] to ''A'' [[logical disjunction|or]] ''D'' is equal to ''B''.
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