Metamath Proof Explorer


Theorem 9re

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

Ref Expression
Assertion 9re 9 ∈ ℝ

Proof

Step Hyp Ref Expression
1 df-9 9 = ( 8 + 1 )
2 8re 8 ∈ ℝ
3 1re 1 ∈ ℝ
4 2 3 readdcli ( 8 + 1 ) ∈ ℝ
5 1 4 eqeltri 9 ∈ ℝ