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 ∈ ℋ → ( normℎ ‘ 𝐴 ) ∈ ℝ )

Proof

Step	Hyp	Ref	Expression
1		normf	⊢ normℎ : ℋ ⟶ ℝ
2	1	ffvelcdmi	⊢ ( 𝐴 ∈ ℋ → ( normℎ ‘ 𝐴 ) ∈ ℝ )