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Mirrors > Home > ILE Home > Th. List > fofn | Unicode version |
Description: An onto mapping is a function on its domain. (Contributed by NM, 16-Dec-2008.) |
Ref | Expression |
---|---|
fofn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fof 5345 | . 2 | |
2 | ffn 5272 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wfn 5118 wf 5119 wfo 5121 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-in 3077 df-ss 3084 df-f 5127 df-fo 5129 |
This theorem is referenced by: fodmrnu 5353 foun 5386 fo00 5403 foima2 5653 cbvfo 5686 cbvexfo 5687 foeqcnvco 5691 1stcof 6061 2ndcof 6062 1stexg 6065 2ndexg 6066 df1st2 6116 df2nd2 6117 1stconst 6118 2ndconst 6119 fidcenumlemrks 6841 fidcenumlemr 6843 ctm 6994 suplocexprlemell 7521 ennnfonelemhf1o 11926 ennnfonelemrn 11932 upxp 12441 uptx 12443 cnmpt1st 12457 cnmpt2nd 12458 |
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