Metamath Proof Explorer


Theorem 7re

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

Ref Expression
Assertion 7re 7 ∈ ℝ

Proof

Step Hyp Ref Expression
1 df-7 7 = ( 6 + 1 )
2 6re 6 ∈ ℝ
3 1re 1 ∈ ℝ
4 2 3 readdcli ( 6 + 1 ) ∈ ℝ
5 1 4 eqeltri 7 ∈ ℝ