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Mirrors > Home > ILE Home > Th. List > fof | Unicode version |
Description: An onto mapping is a mapping. (Contributed by NM, 3-Aug-1994.) |
Ref | Expression |
---|---|
fof |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqimss 2997 |
. . 3
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2 | 1 | anim2i 324 |
. 2
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3 | df-fo 4908 |
. 2
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4 | df-f 4906 |
. 2
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5 | 2, 3, 4 | 3imtr4i 190 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-11 1397 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-in 2924 df-ss 2931 df-f 4906 df-fo 4908 |
This theorem is referenced by: fofun 5107 fofn 5108 dffo2 5110 foima 5111 resdif 5148 ffoss 5158 fconstfvm 5379 cocan2 5428 foeqcnvco 5430 fornex 5742 algrflem 5850 algrflemg 5851 tposf2 5883 ssdomg 6258 fopwdom 6310 |
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