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Mirrors > Home > ILE Home > Th. List > fofun | Unicode version |
Description: An onto mapping is a function. (Contributed by NM, 29-Mar-2008.) |
Ref | Expression |
---|---|
fofun |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fof 5315 | . 2 | |
2 | ffun 5245 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wfun 5087 wf 5089 wfo 5091 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-in 3047 df-ss 3054 df-fn 5096 df-f 5097 df-fo 5099 |
This theorem is referenced by: foimacnv 5353 resdif 5357 fococnv2 5361 fornex 5981 ctssdccl 6964 suplocexprlem2b 7490 suplocexprlemmu 7494 suplocexprlemdisj 7496 suplocexprlemloc 7497 suplocexprlemub 7499 suplocexprlemlub 7500 ennnfonelemex 11854 ctinf 11870 |
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