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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 2097 |
. . 3
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2 | 1 | anbi2d 452 |
. 2
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3 | df-fo 5021 |
. 2
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4 | df-fo 5021 |
. 2
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5 | 2, 3, 4 | 3bitr4g 221 |
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 104 ax-ia2 105 ax-ia3 106 ax-5 1381 ax-gen 1383 ax-4 1445 ax-17 1464 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-cleq 2081 df-fo 5021 |
This theorem is referenced by: f1oeq3 5246 foeq123d 5249 resdif 5275 ffoss 5285 exmidfodomrlemr 6826 exmidfodomrlemrALT 6827 |
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