Metamath Proof Explorer

Theorem hhsm

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

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

Proof

Step Hyp Ref Expression
1 hhnv.1 
 |-  U = <. <. +h , .h >. , normh >.
2 1 hhnv 
 |-  U e. NrmCVec
3 1 2 h2hsm 
 |-  .h = ( .sOLD ` U )