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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