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 ∈ 𝑉
Assertion	imaexi	⊢ ( 𝐴 “ 𝐵 ) ∈ V

Proof

Step	Hyp	Ref	Expression
1		imaexi.1	⊢ 𝐴 ∈ 𝑉
2	1	elexi	⊢ 𝐴 ∈ V
3	2	imaex	⊢ ( 𝐴 “ 𝐵 ) ∈ V