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Mirrors > Home > LLPE Home > Th. List > df-lor | Structured version |
Description: Church-encoding of logical disjunction. |
Ref | Expression |
---|---|
df-lor | ⊦ Or = λaλb(Trueab) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nlor 310 | . 2 nilad Or | |
2 | va | . . 3 var a | |
3 | vb | . . . 4 var b | |
4 | ntru 297 | . . . . 5 nilad True | |
5 | 3 | nvar 203 | . . . . 5 nilad b |
6 | 2 | nvar 203 | . . . . 5 nilad a |
7 | 4, 5, 6 | nov 284 | . . . 4 nilad (Trueab) |
8 | 3, 7 | nla 279 | . . 3 nilad λb(Trueab) |
9 | 2, 8 | nla 279 | . 2 nilad λaλb(Trueab) |
10 | 1, 9 | weq 246 | 1 wff Or = λaλb(Trueab) |
Colors of variables: wff var nilad |
This definition is referenced by: (None) |
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