Theorem imaexi

Description: The image of a set is a set. (Contributed by Glauco Siliprandi, 26-Jun-2021)

	Ref	Expression
Hypothesis	imaexi.1	$$⊢A\in V$$
Assertion	imaexi	$$⊢A\left[B\right]\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		imaexi.1	$$⊢A\in V$$
2		imaexg	$$⊢A\in V\to A\left[B\right]\in \mathrm{V}$$
3	1 2	ax-mp	$$⊢A\left[B\right]\in \mathrm{V}$$