Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > dffo2 | Unicode version |
Description: Alternate definition of an onto function. (Contributed by NM, 22-Mar-2006.) |
Ref | Expression |
---|---|
dffo2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fof 5340 | . . 3 | |
2 | forn 5343 | . . 3 | |
3 | 1, 2 | jca 304 | . 2 |
4 | ffn 5267 | . . 3 | |
5 | df-fo 5124 | . . . 4 | |
6 | 5 | biimpri 132 | . . 3 |
7 | 4, 6 | sylan 281 | . 2 |
8 | 3, 7 | impbii 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wceq 1331 crn 4535 wfn 5113 wf 5114 wfo 5116 |
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-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-in 3072 df-ss 3079 df-f 5122 df-fo 5124 |
This theorem is referenced by: foco 5350 dff1o5 5369 dffo3 5560 dffo4 5561 fo1stresm 6052 fo2ndresm 6053 fo2ndf 6117 1fv 9909 |
Copyright terms: Public domain | W3C validator |