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Mirrors > Home > ILE Home > Th. List > ffdm | Unicode version |
Description: A mapping is a partial function. (Contributed by NM, 25-Nov-2007.) |
Ref | Expression |
---|---|
ffdm |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fdm 5371 |
. . . 4
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2 | 1 | feq2d 5353 |
. . 3
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3 | 2 | ibir 177 |
. 2
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4 | eqimss 3209 |
. . 3
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5 | 1, 4 | syl 14 |
. 2
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6 | 3, 5 | jca 306 |
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 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-in 3135 df-ss 3142 df-fn 5219 df-f 5220 |
This theorem is referenced by: smoiso 6302 dvcj 14066 dvfre 14067 |
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