Definition df-goim 31337

Description: Define the Godel-set of implication. Here the arguments U and V are also Godel-sets corresponding to smaller formulae. Note that this is a class expression, not a wff. (Contributed by Mario Carneiro, 14-Jul-2013.)

Assertion

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

Distinct variable group:   v, u

Detailed syntax breakdown of Definition df-goim

Step	Hyp	Ref	Expression
1		cgoi 31330	. 2 class ->g
2		vu	. . 3 setvar u
3		vv	. . 3 setvar v
4		cvv 3200	. . 3 class _V
5	2	cv 1482	. . . 4 class u
6	3	cv 1482	. . . . 5 class v
7	6	cgon 31328	. . . 4 class -.g v
8		cgna 31316	. . . 4 class |g
9	5, 7, 8	co 6650	. . 3 class ( u |g -.g v )
10	2, 3, 4, 4, 9	cmpt2 6652	. 2 class ( u e. _V , v e. _V |-> ( u |g -.g v ) )
11	1, 10	wceq 1483	1 wff ->g = ( u e. _V , v e. _V |-> ( u |g -.g v ) )

This definition is referenced by: (None)