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Metamath Proof Explorer

Theorem imaex

Description: The image of a set is a set. Theorem 3.17 of Monk1 p. 39. (Contributed by JJ, 24-Sep-2021)

		Ref	Expression
	Hypothesis	imaex.1	$⊢ A \in V$
	Assertion	imaex	$⊢ A [B] \in V$

Step	Hyp	Ref	Expression
1		imaex.1	$⊢ A \in V$
2		imaexg	$⊢ A \in V \to A [B] \in V$
3	1 2	ax-mp	$⊢ A [B] \in V$