Metamath Proof Explorer

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 
|- ~H e. SH

Proof

Step Hyp Ref Expression
1 helch 
 |-  ~H e. CH
2 1 chshii 
 |-  ~H e. SH