Metamath Proof Explorer


Theorem 2re

Description: The number 2 is real. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 2re ⊢ 2 ∈ ℝ

Proof

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