Metamath Proof Explorer


Theorem 2rp

Description: 2 is a positive real. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Assertion 2rp ⊢ 2 ∈ ℝ +

Proof

Step Hyp Ref Expression
1 2re ⊢ 2 ∈ ℝ
2 2pos ⊢ 0 < 2
3 1 2 elrpii ⊢ 2 ∈ ℝ +