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Definition df-hlo 27582
Description: Define the class of all complex Hilbert spaces. A Hilbert space is a Banach space which is also an inner product space. (Contributed by Steve Rodriguez, 28-Apr-2007.) (New usage is discouraged.)
Assertion
Ref Expression
df-hlo CHilOLD = (CBan ∩ CPreHilOLD)

Detailed syntax breakdown of Definition df-hlo
StepHypRef Expression
1 chlo 27581 . 2 class CHilOLD
2 ccbn 27558 . . 3 class CBan
3 ccphlo 27507 . . 3 class CPreHilOLD
42, 3cin 3559 . 2 class (CBan ∩ CPreHilOLD)
51, 4wceq 1480 1 wff CHilOLD = (CBan ∩ CPreHilOLD)
Colors of variables: wff setvar class
This definition is referenced by:  ishlo  27583
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