| Linear Logic Proof Explorer |
< Previous
Next >
Nearby theorems |
|
| Mirrors > Home > LLPE Home > Th. List > df-ov | Structured version | |
| Description: Definition of operator application. It's simply two curried function applications. |
| Ref | Expression |
|---|---|
| df-ov | ⊦ (AFB) = ((F' A)' B) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | na | . . 3 nilad A | |
| 2 | nb | . . 3 nilad B | |
| 3 | nf | . . 3 nilad F | |
| 4 | 1, 2, 3 | nov 284 | . 2 nilad (AFB) |
| 5 | 3, 1 | nfv 281 | . . 3 nilad (F' A) |
| 6 | 5, 2 | nfv 281 | . 2 nilad ((F' A)' B) |
| 7 | 4, 6 | weq 246 | 1 wff (AFB) = ((F' A)' B) |
| Colors of variables: wff var nilad |
| This definition is referenced by: (None) |
| Copyright terms: Public domain | W3C validator |