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 ∈ ℋ | |
Assertion | normcli | ⊢ ( normℎ ‘ 𝐴 ) ∈ ℝ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | normcl.1 | ⊢ 𝐴 ∈ ℋ | |
2 | normcl | ⊢ ( 𝐴 ∈ ℋ → ( normℎ ‘ 𝐴 ) ∈ ℝ ) | |
3 | 1 2 | ax-mp | ⊢ ( normℎ ‘ 𝐴 ) ∈ ℝ |