This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem sucex

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

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

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