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Definition df-hlo 21465
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  |-  CHil OLD  =  ( CBan  i^i  CPreHil OLD )

Detailed syntax breakdown of Definition df-hlo
StepHypRef Expression
1 chlo 21464 . 2  class  CHil OLD
2 ccbn 21441 . . 3  class  CBan
3 ccphlo 21390 . . 3  class  CPreHil OLD
42, 3cin 3151 . 2  class  ( CBan 
i^i  CPreHil OLD )
51, 4wceq 1623 1  wff  CHil OLD  =  ( CBan  i^i  CPreHil OLD )
Colors of variables: wff set class
This definition is referenced by:  ishlo  21466
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