Theorem helsh

Description: Hilbert space is a subspace of Hilbert space. (Contributed by NM, 2-Jun-2004) (New usage is discouraged.)

	Ref	Expression
Assertion	helsh	$$⊢\mathscr{H}\in {\mathbf{S}}_{\mathscr{H}}$$

Proof

Step	Hyp	Ref	Expression
1		helch	$$⊢\mathscr{H}\in {\mathbf{C}}_{\mathscr{H}}$$
2	1	chshii	$$⊢\mathscr{H}\in {\mathbf{S}}_{\mathscr{H}}$$