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Metamath Proof Explorer

Theorem abscli

Description: Real closure of absolute value. (Contributed by NM, 2-Aug-1999)

		Ref	Expression
	Hypothesis	absvalsqi.1	$⊢ A \in ℂ$
	Assertion	abscli	$⊢ \|A\| \in ℝ$

Step	Hyp	Ref	Expression
1		absvalsqi.1	$⊢ A \in ℂ$
2		abscl	$⊢ A \in ℂ \to \|A\| \in ℝ$
3	1 2	ax-mp	$⊢ \|A\| \in ℝ$