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	$$⊢\phi \to A\in V$$
Assertion	imaexd	$$⊢\phi \to A\left[B\right]\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		rnexd.1	$$⊢\phi \to A\in V$$
2		imaexg	$$⊢A\in V\to A\left[B\right]\in \mathrm{V}$$
3	1 2	syl	$$⊢\phi \to A\left[B\right]\in \mathrm{V}$$