Metamath Proof Explorer


Theorem 7re

Description: The number 7 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 7re
|- 7 e. RR

Proof

Step Hyp Ref Expression
1 df-7
 |-  7 = ( 6 + 1 )
2 6re
 |-  6 e. RR
3 1re
 |-  1 e. RR
4 2 3 readdcli
 |-  ( 6 + 1 ) e. RR
5 1 4 eqeltri
 |-  7 e. RR