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Metamath Proof Explorer

Theorem elexd

Description: If a class is a member of another class, then it is a set. Deduction associated with elex . (Contributed by Glauco Siliprandi, 11-Oct-2020)

		Ref	Expression
	Hypothesis	elexd.1	\|- ( ph -> A e. V )
	Assertion	elexd	\|- ( ph -> A e. _V )

Proof

Step	Hyp	Ref	Expression
1		elexd.1	\|- ( ph -> A e. V )
2		elex	\|- ( A e. V -> A e. _V )
3	1 2	syl	\|- ( ph -> A e. _V )