Definition df-gonot 33114

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.)

Assertion

Ref	Expression
df-gonot	⊢ ¬𝑔𝑈 = (𝑈⊼𝑔𝑈)

Detailed syntax breakdown of Definition df-gonot

Step	Hyp	Ref	Expression
1		cU	. . 3 class 𝑈
2	1	cgon 33107	. 2 class ¬𝑔𝑈
3		cgna 33009	. . 3 class ⊼𝑔
4	1, 1, 3	co 7213	. 2 class (𝑈⊼𝑔𝑈)
5	2, 4	wceq 1543	1 wff ¬𝑔𝑈 = (𝑈⊼𝑔𝑈)

This definition is referenced by: (None)