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Metamath Proof Explorer

Theorem normcli

Description: Real closure of the norm of a vector. (Contributed by NM, 30-Sep-1999) (New usage is discouraged.)

		Ref	Expression
	Hypothesis	normcl.1	$⊢ A \in ℋ$
	Assertion	normcli	$⊢ {norm}_{ℎ} (A) \in ℝ$

Step	Hyp	Ref	Expression
1		normcl.1	$⊢ A \in ℋ$
2		normcl	$⊢ A \in ℋ \to {norm}_{ℎ} (A) \in ℝ$
3	1 2	ax-mp	$⊢ {norm}_{ℎ} (A) \in ℝ$