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Definition df-hlo 24424
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  i^i  CPreHil OLD )

Detailed syntax breakdown of Definition df-hlo
StepHypRef Expression
1 chlo 24423 . 2  class  CHilOLD
2 ccbn 24400 . . 3  class  CBan
3 ccphlo 24349 . . 3  class  CPreHil OLD
42, 3cin 3427 . 2  class  ( CBan 
i^i  CPreHil OLD )
51, 4wceq 1370 1  wff  CHilOLD  =  ( CBan  i^i  CPreHil OLD )
Colors of variables: wff setvar class
This definition is referenced by:  ishlo  24425
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