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Mirrors > Home > LLPE Home > Th. List > df-nnu | Structured version |
Description: Definition of the dual creation operator. |
Ref | Expression |
---|---|
df-nnu | ⊦ (∇x𝜑 ⧟ ~ νx~ 𝜑) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 wff 𝜑 | |
2 | vx | . . 3 var x | |
3 | 1, 2 | wnnu 242 | . 2 wff ∇x𝜑 |
4 | 1 | wneg 3 | . . . 4 wff ~ 𝜑 |
5 | 4, 2 | wnu 206 | . . 3 wff νx~ 𝜑 |
6 | 5 | wneg 3 | . 2 wff ~ νx~ 𝜑 |
7 | 3, 6 | wlb 55 | 1 wff (∇x𝜑 ⧟ ~ νx~ 𝜑) |
Colors of variables: wff var nilad |
This definition is referenced by: (None) |
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