Metamath Proof Explorer


Theorem re1

Description: The real part of one. (Contributed by Scott Fenton, 9-Jun-2006)

Ref Expression
Assertion re1
|- ( Re ` 1 ) = 1

Proof

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