Metamath Proof Explorer


Theorem 3re

Description: The number 3 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 3re 3 ∈ ℝ

Proof

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