Theorem normcl

Description: Real closure of the norm of a vector. (Contributed by NM, 29-May-1999) (New usage is discouraged.)

	Ref	Expression
Assertion	normcl	$$⊢A\in \mathscr{H}\to {norm}_{ℎ}\left(A\right)\in ℝ$$

Proof

Step	Hyp	Ref	Expression
1		normf	$$⊢{norm}_{ℎ}:\mathscr{H}⟶ℝ$$
2	1	ffvelrni	$$⊢A\in \mathscr{H}\to {norm}_{ℎ}\left(A\right)\in ℝ$$