Metamath Proof Explorer


Theorem 6re

Description: The number 6 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 6re
|- 6 e. RR

Proof

Step Hyp Ref Expression
1 df-6
 |-  6 = ( 5 + 1 )
2 5re
 |-  5 e. RR
3 1re
 |-  1 e. RR
4 2 3 readdcli
 |-  ( 5 + 1 ) e. RR
5 1 4 eqeltri
 |-  6 e. RR