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| Mirrors > Home > MPE Home > Th. List > ffund | Structured version Visualization version GIF version | ||
| Description: A mapping is a function, deduction version. (Contributed by Glauco Siliprandi, 3-Mar-2021.) |
| Ref | Expression |
|---|---|
| ffund.1 | ⊢ (𝜑 → 𝐹:𝐴⟶𝐵) |
| Ref | Expression |
|---|---|
| ffund | ⊢ (𝜑 → Fun 𝐹) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ffund.1 | . 2 ⊢ (𝜑 → 𝐹:𝐴⟶𝐵) | |
| 2 | ffun 6739 | . 2 ⊢ (𝐹:𝐴⟶𝐵 → Fun 𝐹) | |
| 3 | 1, 2 | syl 17 | 1 ⊢ (𝜑 → Fun 𝐹) |
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