Description: The function value of a point is a real. (Contributed by Scott Fenton, 10-Jun-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | fveere | ⊢ ( ( 𝐴 ∈ ( 𝔼 ‘ 𝑁 ) ∧ 𝐼 ∈ ( 1 ... 𝑁 ) ) → ( 𝐴 ‘ 𝐼 ) ∈ ℝ ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eleei | ⊢ ( 𝐴 ∈ ( 𝔼 ‘ 𝑁 ) → 𝐴 : ( 1 ... 𝑁 ) ⟶ ℝ ) | |
2 | 1 | ffvelrnda | ⊢ ( ( 𝐴 ∈ ( 𝔼 ‘ 𝑁 ) ∧ 𝐼 ∈ ( 1 ... 𝑁 ) ) → ( 𝐴 ‘ 𝐼 ) ∈ ℝ ) |