Metamath Proof Explorer


Theorem 5re

Description: The number 5 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 5re 5 ∈ ℝ

Proof

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