Definition df-goal

Description: Define the Godel-set of universal quantification. Here N e.om corresponds to vN , and U represents another formula, and this expression is [ A. x ph ] = A.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-goal	|- A.g N U = <. 2o , <. N , U >. >.

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cN	|- N
1		cU	|- U
2	1 0	cgol	|- A.g N U
3		c2o	|- 2o
4	0 1	cop	|- <. N , U >.
5	3 4	cop	|- <. 2o , <. N , U >. >.
6	2 5	wceq	|- A.g N U = <. 2o , <. N , U >. >.