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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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