Theorem imaexd

Description: The image of a set is a set. Deduction version of imaexg . (Contributed by Thierry Arnoux, 14-Feb-2025)

	Ref	Expression
Hypothesis	rnexd.1	⊢ ( 𝜑 → 𝐴 ∈ 𝑉 )
Assertion	imaexd	⊢ ( 𝜑 → ( 𝐴 “ 𝐵 ) ∈ V )

Proof

Step	Hyp	Ref	Expression
1		rnexd.1	⊢ ( 𝜑 → 𝐴 ∈ 𝑉 )
2		imaexg	⊢ ( 𝐴 ∈ 𝑉 → ( 𝐴 “ 𝐵 ) ∈ V )
3	1 2	syl	⊢ ( 𝜑 → ( 𝐴 “ 𝐵 ) ∈ V )