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Mirrors > Home > LLPE Home > Th. List > df-tru | Structured version |
Description: Church-encoding of truth. It takes two (curried) arguments and returns the first. Happens to be identical to nkk 287. |
Ref | Expression |
---|---|
df-tru | ⊦ True = λxλyx |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ntru 297 | . 2 nilad True | |
2 | vx | . . 3 var x | |
3 | vy | . . . 4 var y | |
4 | 2 | nvar 203 | . . . 4 nilad x |
5 | 3, 4 | nla 279 | . . 3 nilad λyx |
6 | 2, 5 | nla 279 | . 2 nilad λxλyx |
7 | 1, 6 | weq 246 | 1 wff True = λxλyx |
Colors of variables: wff var nilad |
This definition is referenced by: (None) |
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