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| Mirrors > Home > LLPE Home > Th. List > df-iota | Structured version | |
| Description: Definition of the iota combinator in terms of S and K. |
| Ref | Expression |
|---|---|
| df-iota | ⊦ ι = λf((f' S)' K) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | niota 289 | . 2 nilad ι | |
| 2 | vf | . . 3 var f | |
| 3 | 2 | nvar 203 | . . . . 5 nilad f |
| 4 | nss 286 | . . . . 5 nilad S | |
| 5 | 3, 4 | nfv 281 | . . . 4 nilad (f' S) |
| 6 | nkk 287 | . . . 4 nilad K | |
| 7 | 5, 6 | nfv 281 | . . 3 nilad ((f' S)' K) |
| 8 | 2, 7 | nla 279 | . 2 nilad λf((f' S)' K) |
| 9 | 1, 8 | weq 246 | 1 wff ι = λf((f' S)' K) |
| Colors of variables: wff var nilad |
| This definition is referenced by: (None) |
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