Theorem rehalfcld

Description: Real closure of half. (Contributed by Mario Carneiro, 27-May-2016)

	Ref	Expression
Hypothesis	rehalfcld.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
Assertion	rehalfcld	⊢ ( 𝜑 → ( 𝐴 / 2 ) ∈ ℝ )

Proof

Step	Hyp	Ref	Expression
1		rehalfcld.1	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
2		rehalfcl	⊢ ( 𝐴 ∈ ℝ → ( 𝐴 / 2 ) ∈ ℝ )
3	1 2	syl	⊢ ( 𝜑 → ( 𝐴 / 2 ) ∈ ℝ )