Definition df-goan 31336

Description: Define the Godel-set of conjunction. Here the arguments U and V are also Godel-sets corresponding to smaller formulae. (Contributed by Mario Carneiro, 14-Jul-2013.)

Assertion

Ref	Expression
df-goan	|- /\g = ( u e. _V , v e. _V |-> -.g ( u |g v ) )

Distinct variable group:   v, u

Detailed syntax breakdown of Definition df-goan

Step	Hyp	Ref	Expression
1		cgoa 31329	. 2 class /\g
2		vu	. . 3 setvar u
3		vv	. . 3 setvar v
4		cvv 3200	. . 3 class _V
5	2	cv 1482	. . . . 5 class u
6	3	cv 1482	. . . . 5 class v
7		cgna 31316	. . . . 5 class |g
8	5, 6, 7	co 6650	. . . 4 class ( u |g v )
9	8	cgon 31328	. . 3 class -.g ( u |g v )
10	2, 3, 4, 4, 9	cmpt2 6652	. 2 class ( u e. _V , v e. _V |-> -.g ( u |g v ) )
11	1, 10	wceq 1483	1 wff /\g = ( u e. _V , v e. _V |-> -.g ( u |g v ) )

This definition is referenced by: (None)