Metamath Proof Explorer


Theorem cj0

Description: The conjugate of zero. (Contributed by NM, 27-Jul-1999)

Ref Expression
Assertion cj0
|- ( * ` 0 ) = 0

Proof

Step Hyp Ref Expression
1 0re
 |-  0 e. RR
2 cjre
 |-  ( 0 e. RR -> ( * ` 0 ) = 0 )
3 1 2 ax-mp
 |-  ( * ` 0 ) = 0