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| Description: Define the Godel-set of negation. Here the argument 𝑈 is also a Godel-set corresponding to smaller formulas. Note that this is a class expression, not a wff. (Contributed by Mario Carneiro, 14-Jul-2013.) | 
| Ref | Expression | 
|---|---|
| df-gonot | ⊢ ¬𝑔𝑈 = (𝑈⊼𝑔𝑈) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | cU | . . 3 class 𝑈 | |
| 2 | 1 | cgon 35437 | . 2 class ¬𝑔𝑈 | 
| 3 | cgna 35339 | . . 3 class ⊼𝑔 | |
| 4 | 1, 1, 3 | co 7431 | . 2 class (𝑈⊼𝑔𝑈) | 
| 5 | 2, 4 | wceq 1540 | 1 wff ¬𝑔𝑈 = (𝑈⊼𝑔𝑈) | 
| Colors of variables: wff setvar class | 
| This definition is referenced by: (None) | 
| Copyright terms: Public domain | W3C validator |