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Mirrors > Home > NFE Home > Th. List > f1ofun | Unicode version |
Description: A one-to-one onto mapping is a function. (Contributed by set.mm contributors, 12-Dec-2003.) |
Ref | Expression |
---|---|
f1ofun |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1ofn 5288 | . 2 | |
2 | fnfun 5181 | . 2 | |
3 | 1, 2 | syl 15 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wfun 4775 wfn 4776 wf1o 4780 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
This theorem depends on definitions: df-bi 177 df-an 360 df-fn 4790 df-f 4791 df-f1 4792 df-f1o 4794 |
This theorem is referenced by: f1ococnv2 5309 enpw1 6062 sbthlem3 6205 |
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