Theorem imaexi

Description: The image of a set is a set. (Contributed by Glauco Siliprandi, 26-Jun-2021) (Proof shortened by SN, 27-Apr-2025)

	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	1	elexi	$$⊢A\in \mathrm{V}$$
3	2	imaex	$$⊢A\left[B\right]\in \mathrm{V}$$