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Metamath Proof Explorer

Theorem riotaex

Description: Restricted iota is a set. (Contributed by NM, 15-Sep-2011)

		Ref	Expression
	Assertion	riotaex	$⊢ (ι x \in A \| ψ) \in V$

Step	Hyp	Ref	Expression
1		df-riota	$⊢ (ι x \in A \| ψ) = (ι x \| (x \in A \land ψ))$
2		iotaex	$⊢ (ι x \| (x \in A \land ψ)) \in V$
3	1 2	eqeltri	$⊢ (ι x \in A \| ψ) \in V$