Description: A closed subspace of a Hilbert space is a subset of Hilbert space. (Contributed by NM, 6-Oct-1999) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | shssi.1 | |- H e. SH |
|
Assertion | shssii | |- H C_ ~H |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | shssi.1 | |- H e. SH |
|
2 | shss | |- ( H e. SH -> H C_ ~H ) |
|
3 | 1 2 | ax-mp | |- H C_ ~H |