Description: The closed subspace zero is the smallest member of CH . (Contributed by NM, 15-Oct-1999) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | ch0le.1 | |- A e. CH |
|
Assertion | ch0lei | |- 0H C_ A |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ch0le.1 | |- A e. CH |
|
2 | ch0le | |- ( A e. CH -> 0H C_ A ) |
|
3 | 1 2 | ax-mp | |- 0H C_ A |