Theorem difexd

Description: Existence of a difference. (Contributed by SN, 16-Jul-2024)

	Ref	Expression
Hypothesis	difexd.1	$$⊢\phi \to A\in V$$
Assertion	difexd	$$⊢\phi \to A\setminus B\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		difexd.1	$$⊢\phi \to A\in V$$
2		difexg	$$⊢A\in V\to A\setminus B\in \mathrm{V}$$
3	1 2	syl	$$⊢\phi \to A\setminus B\in \mathrm{V}$$