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 = ( BaseSet ‘ 𝑈 )
Assertion	hlex	⊢ 𝑋 ∈ V

Proof

Step	Hyp	Ref	Expression
1		hlex.1	⊢ 𝑋 = ( BaseSet ‘ 𝑈 )
2	1	fvexi	⊢ 𝑋 ∈ V