Description: Every complex Hilbert space is a complex Banach space. (Contributed by Steve Rodriguez, 28-Apr-2007) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | hlobn | |- ( U e. CHilOLD -> U e. CBan ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ishlo | |- ( U e. CHilOLD <-> ( U e. CBan /\ U e. CPreHilOLD ) ) |
|
2 | 1 | simplbi | |- ( U e. CHilOLD -> U e. CBan ) |