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Metamath Proof Explorer

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 )