Metamath Proof Explorer


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 )