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| Mirrors > Home > MPE Home > Th. List > f1ofn | Structured version Visualization version GIF version | ||
| Description: A one-to-one onto mapping is function on its domain. (Contributed by NM, 12-Dec-2003.) |
| Ref | Expression |
|---|---|
| f1ofn | ⊢ (𝐹:𝐴–1-1-onto→𝐵 → 𝐹 Fn 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | f1of 6848 | . 2 ⊢ (𝐹:𝐴–1-1-onto→𝐵 → 𝐹:𝐴⟶𝐵) | |
| 2 | 1 | ffnd 6737 | 1 ⊢ (𝐹:𝐴–1-1-onto→𝐵 → 𝐹 Fn 𝐴) |
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