Theorem sucex

Description: The successor of a set is a set. (Contributed by NM, 30-Aug-1993)

	Ref	Expression
Hypothesis	sucex.1	$$⊢A\in \mathrm{V}$$
Assertion	sucex	$$⊢\mathrm{suc}A\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		sucex.1	$$⊢A\in \mathrm{V}$$
2		sucexg	$$⊢A\in \mathrm{V}\to \mathrm{suc}A\in \mathrm{V}$$
3	1 2	ax-mp	$$⊢\mathrm{suc}A\in \mathrm{V}$$