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