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Mirrors > Home > ILE Home > Th. List > foeq3 | Unicode version |
Description: Equality theorem for onto functions. (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
foeq3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq2 2150 |
. . 3
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2 | 1 | anbi2d 460 |
. 2
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3 | df-fo 5137 |
. 2
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4 | df-fo 5137 |
. 2
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5 | 2, 3, 4 | 3bitr4g 222 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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 1424 ax-gen 1426 ax-4 1488 ax-17 1507 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-cleq 2133 df-fo 5137 |
This theorem is referenced by: f1oeq3 5366 foeq123d 5369 resdif 5397 ffoss 5407 fifo 6876 enumct 7008 ctssexmid 7032 exmidfodomrlemr 7075 exmidfodomrlemrALT 7076 qnnen 11980 ctiunctal 11990 unct 11991 subctctexmid 13369 |
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