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| Mirrors > Home > LLPE Home > Th. List > df-not | Structured version | |
| Description: Definition of ¬. It's ~ but with some ! splashed in for good measure. |
| Ref | Expression |
|---|---|
| df-not | ⊦ (¬ 𝜑 ⧟ ~ ! 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wph | . . 3 wff 𝜑 | |
| 2 | 1 | wnot 186 | . 2 wff ¬ 𝜑 |
| 3 | 1 | wpe 148 | . . 3 wff ! 𝜑 |
| 4 | 3 | wneg 3 | . 2 wff ~ ! 𝜑 |
| 5 | 2, 4 | wlb 55 | 1 wff (¬ 𝜑 ⧟ ~ ! 𝜑) |
| Colors of variables: wff var nilad |
| This definition is referenced by: (None) |
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