Metamath Proof Explorer


Theorem 9re

Description: The number 9 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 9re
|- 9 e. RR

Proof

Step Hyp Ref Expression
1 df-9
 |-  9 = ( 8 + 1 )
2 8re
 |-  8 e. RR
3 1re
 |-  1 e. RR
4 2 3 readdcli
 |-  ( 8 + 1 ) e. RR
5 1 4 eqeltri
 |-  9 e. RR