Metamath Proof Explorer

Theorem hhva

Description: The group (addition) operation of Hilbert space. (Contributed by NM, 17-Nov-2007) (New usage is discouraged.)

Ref Expression
Hypothesis hhnv.1 
|- U = <. <. +h , .h >. , normh >.
Assertion hhva 
|- +h = ( +v ` U )

Proof

Step Hyp Ref Expression
1 hhnv.1 
 |-  U = <. <. +h , .h >. , normh >.
2 1 hhnv 
 |-  U e. NrmCVec
3 1 2 h2hva 
 |-  +h = ( +v ` U )