Theorem hlex

Description: The base set of a Hilbert space is a set. (Contributed by NM, 7-Sep-2007) (New usage is discouraged.)

	Ref	Expression
Hypothesis	hlex.1	$$⊢X=\mathrm{BaseSet}\left(U\right)$$
Assertion	hlex	$$⊢X\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		hlex.1	$$⊢X=\mathrm{BaseSet}\left(U\right)$$
2	1	fvexi	$$⊢X\in \mathrm{V}$$