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| Mirrors > Home > MPE Home > Th. List > ffnd | Structured version Visualization version GIF version | ||
| Description: A mapping is a function with domain, deduction form. (Contributed by Glauco Siliprandi, 17-Aug-2020.) |
| Ref | Expression |
|---|---|
| ffnd.1 | ⊢ (𝜑 → 𝐹:𝐴⟶𝐵) |
| Ref | Expression |
|---|---|
| ffnd | ⊢ (𝜑 → 𝐹 Fn 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ffnd.1 | . 2 ⊢ (𝜑 → 𝐹:𝐴⟶𝐵) | |
| 2 | ffn 6736 | . 2 ⊢ (𝐹:𝐴⟶𝐵 → 𝐹 Fn 𝐴) | |
| 3 | 1, 2 | syl 17 | 1 ⊢ (𝜑 → 𝐹 Fn 𝐴) |
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