Definition df-goex

Description: Define the Godel-set of existential quantification. Here N e.om corresponds to vN , and U represents another formula, and this expression is [ E. x ph ] = E.g N U where x is the N -th variable, U = [ ph ] is the code for ph . Note that this is a class expression, not a wff. (Contributed by Mario Carneiro, 14-Jul-2013)

	Ref	Expression
Assertion	df-goex	|- E.g N U = -.g A.g N -.g U

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cN	|- N
1		cU	|- U
2	1 0	cgox	|- E.g N U
3	1	cgon	|- -.g U
4	3 0	cgol	|- A.g N -.g U
5	4	cgon	|- -.g A.g N -.g U
6	2 5	wceq	|- E.g N U = -.g A.g N -.g U