Description: The image of a set is a set. (Contributed by Glauco Siliprandi, 26-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Hypothesis | imaexi.1 | ⊢ 𝐴 ∈ 𝑉 | |
Assertion | imaexi | ⊢ ( 𝐴 “ 𝐵 ) ∈ V |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imaexi.1 | ⊢ 𝐴 ∈ 𝑉 | |
2 | imaexg | ⊢ ( 𝐴 ∈ 𝑉 → ( 𝐴 “ 𝐵 ) ∈ V ) | |
3 | 1 2 | ax-mp | ⊢ ( 𝐴 “ 𝐵 ) ∈ V |