Theorem imaexi

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

	Ref	Expression
Hypothesis	imaexi.1	⊢ 𝐴 ∈ 𝑉
Assertion	imaexi	⊢ ( 𝐴 “ 𝐵 ) ∈ V

Proof

Step	Hyp	Ref	Expression
1		imaexi.1	⊢ 𝐴 ∈ 𝑉
2		imaexg	⊢ ( 𝐴 ∈ 𝑉 → ( 𝐴 “ 𝐵 ) ∈ V )
3	1 2	ax-mp	⊢ ( 𝐴 “ 𝐵 ) ∈ V