Metamath Proof Explorer


Theorem 4re

Description: The number 4 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 4re 4 ∈ ℝ

Proof

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