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| Mirrors > Home > MPE Home > Th. List > ffn | Structured version Visualization version GIF version | ||
| Description: A mapping is a function with domain. (Contributed by NM, 2-Aug-1994.) |
| Ref | Expression |
|---|---|
| ffn | ⊢ (𝐹:𝐴⟶𝐵 → 𝐹 Fn 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-f 6565 | . 2 ⊢ (𝐹:𝐴⟶𝐵 ↔ (𝐹 Fn 𝐴 ∧ ran 𝐹 ⊆ 𝐵)) | |
| 2 | 1 | simplbi 497 | 1 ⊢ (𝐹:𝐴⟶𝐵 → 𝐹 Fn 𝐴) |
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