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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-gonot | Structured version Visualization version GIF version |
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 33294 | . 2 class ¬𝑔𝑈 |
3 | cgna 33196 | . . 3 class ⊼𝑔 | |
4 | 1, 1, 3 | co 7255 | . 2 class (𝑈⊼𝑔𝑈) |
5 | 2, 4 | wceq 1539 | 1 wff ¬𝑔𝑈 = (𝑈⊼𝑔𝑈) |
Colors of variables: wff setvar class |
This definition is referenced by: (None) |
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