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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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