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Mirrors > Home > MPE Home > Th. List > f1of | Structured version Visualization version GIF version |
Description: A one-to-one onto mapping is a mapping. (Contributed by NM, 12-Dec-2003.) |
Ref | Expression |
---|---|
f1of | ⊢ (𝐹:𝐴–1-1-onto→𝐵 → 𝐹:𝐴⟶𝐵) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1of1 6707 | . 2 ⊢ (𝐹:𝐴–1-1-onto→𝐵 → 𝐹:𝐴–1-1→𝐵) | |
2 | f1f 6662 | . 2 ⊢ (𝐹:𝐴–1-1→𝐵 → 𝐹:𝐴⟶𝐵) | |
3 | 1, 2 | syl 17 | 1 ⊢ (𝐹:𝐴–1-1-onto→𝐵 → 𝐹:𝐴⟶𝐵) |
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