Metamath Proof Explorer


Theorem rehalfcli

Description: Half a real number is real. Inference form. (Contributed by David Moews, 28-Feb-2017)

Ref Expression
Hypothesis rehalfcli.1 ⊢ A ∈ ℝ
Assertion rehalfcli ⊢ A 2 ∈ ℝ

Proof

Step Hyp Ref Expression
1 rehalfcli.1 ⊢ A ∈ ℝ
2 rehalfcl ⊢ A ∈ ℝ → A 2 ∈ ℝ
3 1 2 ax-mp ⊢ A 2 ∈ ℝ