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| Mirrors > Home > MPE Home > Th. List > f1f | Structured version Visualization version GIF version | ||
| Description: A one-to-one mapping is a mapping. (Contributed by NM, 31-Dec-1996.) |
| Ref | Expression |
|---|---|
| f1f | ⊢ (𝐹:𝐴–1-1→𝐵 → 𝐹:𝐴⟶𝐵) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-f1 6566 | . 2 ⊢ (𝐹:𝐴–1-1→𝐵 ↔ (𝐹:𝐴⟶𝐵 ∧ Fun ◡𝐹)) | |
| 2 | 1 | simplbi 497 | 1 ⊢ (𝐹:𝐴–1-1→𝐵 → 𝐹:𝐴⟶𝐵) |
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