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| Mirrors > Home > MPE Home > Th. List > fdm | Structured version Visualization version GIF version | ||
| Description: The domain of a mapping. (Contributed by NM, 2-Aug-1994.) (Proof shortened by Wolf Lammen, 29-May-2024.) |
| Ref | Expression |
|---|---|
| fdm | ⊢ (𝐹:𝐴⟶𝐵 → dom 𝐹 = 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ffn 6736 | . 2 ⊢ (𝐹:𝐴⟶𝐵 → 𝐹 Fn 𝐴) | |
| 2 | 1 | fndmd 6673 | 1 ⊢ (𝐹:𝐴⟶𝐵 → dom 𝐹 = 𝐴) |
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