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Mirrors > Home > ILE Home > Th. List > dffn4 | Unicode version |
Description: A function maps onto its range. (Contributed by NM, 10-May-1998.) |
Ref | Expression |
---|---|
dffn4 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2140 |
. . 3
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2 | 1 | biantru 300 |
. 2
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3 | df-fo 5137 |
. 2
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4 | 2, 3 | bitr4i 186 |
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-gen 1426 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-cleq 2133 df-fo 5137 |
This theorem is referenced by: funforn 5360 ffoss 5407 tposf2 6173 mapsn 6592 fifo 6876 |
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