Metamath Proof Explorer


Theorem re0

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

Ref Expression
Assertion re0
|- ( Re ` 0 ) = 0

Proof

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