Description: The class of all complex vector spaces is a relation. (Contributed by NM, 17-Mar-2007) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | vcrel | |- Rel CVecOLD |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-vc | |- CVecOLD = { <. g , s >. | ( g e. AbelOp /\ s : ( CC X. ran g ) --> ran g /\ A. x e. ran g ( ( 1 s x ) = x /\ A. y e. CC ( A. z e. ran g ( y s ( x g z ) ) = ( ( y s x ) g ( y s z ) ) /\ A. z e. CC ( ( ( y + z ) s x ) = ( ( y s x ) g ( z s x ) ) /\ ( ( y x. z ) s x ) = ( y s ( z s x ) ) ) ) ) ) } |
|
2 | 1 | relopabiv | |- Rel CVecOLD |