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Mirrors > Home > MPE Home > Th. List > df-f1 | Structured version Visualization version Unicode version |
Description: Define a one-to-one function. For equivalent definitions see dff12 5801 and dff13 6184. Compare Definition 6.15(5) of [TakeutiZaring] p. 27. We use their notation ("1-1" above the arrow). (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
df-f1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
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2 | cB |
. . 3
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3 | cF |
. . 3
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4 | 1, 2, 3 | wf1 5598 |
. 2
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5 | 1, 2, 3 | wf 5597 |
. . 3
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6 | 3 | ccnv 4852 |
. . . 4
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7 | 6 | wfun 5595 |
. . 3
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8 | 5, 7 | wa 375 |
. 2
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9 | 4, 8 | wb 189 |
1
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