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Mirrors > Home > ILE Home > Th. List > f1ofo | Unicode version |
Description: A one-to-one onto function is an onto function. (Contributed by NM, 28-Apr-2004.) |
Ref | Expression |
---|---|
f1ofo |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dff1o3 5152 | . 2 | |
2 | 1 | simplbi 268 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 ccnv 4362 wfun 4916 wfo 4920 wf1o 4921 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-in 2979 df-ss 2986 df-f 4926 df-f1 4927 df-fo 4928 df-f1o 4929 |
This theorem is referenced by: f1imacnv 5163 f1ococnv2 5173 fo00 5182 isoini 5477 isoselem 5479 f1opw2 5726 f1dmex 5763 bren 6251 f1oeng 6260 en1 6302 phplem4 6341 phplem4on 6353 dif1en 6364 supisolem 6421 ordiso2 6446 1fv 9149 |
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