| New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > NFE Home > Th. List > df-f1o | Unicode version | ||
| Description: Define a one-to-one onto function. For equivalent definitions see dff1o2 5291, dff1o3 5292, dff1o4 5294, and dff1o5 5295. Compare Definition 6.15(6) of [TakeutiZaring] p. 27. We use their notation ("1-1" above the arrow and "onto" below the arrow). (Contributed by SF, 5-Jan-2015.) |
| Ref | Expression |
|---|---|
| df-f1o |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA |
. . 3
| |
| 2 | cB |
. . 3
| |
| 3 | cF |
. . 3
| |
| 4 | 1, 2, 3 | wf1o 4780 |
. 2
|
| 5 | 1, 2, 3 | wf1 4778 |
. . 3
|
| 6 | 1, 2, 3 | wfo 4779 |
. . 3
|
| 7 | 5, 6 | wa 358 |
. 2
|
| 8 | 4, 7 | wb 176 |
1
|
| Colors of variables: wff setvar class |
| This definition is referenced by: f1oeq1 5281 f1oeq2 5282 f1oeq3 5283 nff1o 5285 f1of1 5286 dff1o2 5291 dff1o5 5295 f1oco 5308 fo00 5318 f1o0 5319 dff1o6 5475 |
| Copyright terms: Public domain | W3C validator |