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| Mirrors > Home > LLPE Home > Th. List > df-land | Structured version | |
| Description: Church-encoding of logical conjunction. |
| Ref | Expression |
|---|---|
| df-land | ⊦ And = λaλb(baFalse) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nland 309 | . 2 nilad And | |
| 2 | va | . . 3 var a | |
| 3 | vb | . . . 4 var b | |
| 4 | 3 | nvar 203 | . . . . 5 nilad b |
| 5 | nfal 298 | . . . . 5 nilad False | |
| 6 | 2 | nvar 203 | . . . . 5 nilad a |
| 7 | 4, 5, 6 | nov 284 | . . . 4 nilad (baFalse) |
| 8 | 3, 7 | nla 279 | . . 3 nilad λb(baFalse) |
| 9 | 2, 8 | nla 279 | . 2 nilad λaλb(baFalse) |
| 10 | 1, 9 | weq 246 | 1 wff And = λaλb(baFalse) |
| Colors of variables: wff var nilad |
| This definition is referenced by: (None) |
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