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Metamath Proof Explorer

Theorem rehalfcl

Description: Real closure of half. (Contributed by NM, 1-Jan-2006)

		Ref	Expression
	Assertion	rehalfcl	$⊢ A \in ℝ \to \frac{A}{2} \in ℝ$

Step	Hyp	Ref	Expression
1		2re	$⊢ 2 \in ℝ$
2		2ne0	$⊢ 2 \neq 0$
3		redivcl	$⊢ (A \in ℝ \land 2 \in ℝ \land 2 \neq 0) \to \frac{A}{2} \in ℝ$
4	1 2 3	mp3an23	$⊢ A \in ℝ \to \frac{A}{2} \in ℝ$