Theorem difexi

Description: Existence of a difference, inference version of difexg . (Contributed by Glauco Siliprandi, 3-Mar-2021) (Revised by AV, 26-Mar-2021)

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

Proof

Step	Hyp	Ref	Expression
1		difexi.1	$$⊢A\in \mathrm{V}$$
2		difexg	$$⊢A\in \mathrm{V}\to A\setminus B\in \mathrm{V}$$
3	1 2	ax-mp	$$⊢A\setminus B\in \mathrm{V}$$