Metamath Proof Explorer

Theorem chshii

Description: A closed subspace is a subspace. (Contributed by NM, 19-Oct-1999) (New usage is discouraged.)

Ref Expression
Hypothesis chshi.1 
|- H e. CH
Assertion chshii 
|- H e. SH

Proof

Step Hyp Ref Expression
1 chshi.1 
 |-  H e. CH
2 chsh 
 |-  ( H e. CH -> H e. SH )
3 1 2 ax-mp 
 |-  H e. SH