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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