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Mirrors > Home > ILE Home > Th. List > f1fun | Unicode version |
Description: A one-to-one mapping is a function. (Contributed by NM, 8-Mar-2014.) |
Ref | Expression |
---|---|
f1fun |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | f1fn 5330 | . 2 | |
2 | fnfun 5220 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wfun 5117 wfn 5118 wf1 5120 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 |
This theorem depends on definitions: df-bi 116 df-fn 5126 df-f 5127 df-f1 5128 |
This theorem is referenced by: f1cocnv2 5395 f1o2ndf1 6125 f1dmvrnfibi 6832 djuinj 6991 |
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