This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
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 |
chssi.1 |
|- H e. CH |
|
Assertion |
chssii |
|- H C_ ~H |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
chssi.1 |
|- H e. CH |
| 2 |
1
|
chshii |
|- H e. SH |
| 3 |
2
|
shssii |
|- H C_ ~H |