Definition df-gonot

Description: Define the Godel-set of negation. Here the argument U is also a Godel-set corresponding to smaller formulas. Note that this is aclass expression, not a wff. (Contributed by Mario Carneiro, 14-Jul-2013)

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

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cU	⊢ 𝑈
1	0	cgon	⊢ ¬𝑔 𝑈
2		cgna	⊢ ⊼𝑔
3	0 0 2	co	⊢ ( 𝑈 ⊼𝑔 𝑈 )
4	1 3	wceq	⊢ ¬𝑔 𝑈 = ( 𝑈 ⊼𝑔 𝑈 )