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Mirrors > Home > ILE Home > Th. List > foeq2 | Unicode version |
Description: Equality theorem for onto functions. (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
foeq2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fneq2 4988 |
. . 3
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2 | 1 | anbi1d 438 |
. 2
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3 | df-fo 4908 |
. 2
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4 | df-fo 4908 |
. 2
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5 | 2, 3, 4 | 3bitr4g 212 |
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-gen 1338 ax-4 1400 ax-17 1419 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-cleq 2033 df-fn 4905 df-fo 4908 |
This theorem is referenced by: f1oeq2 5118 foeq123d 5122 tposfo 5886 |
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