Definition df-cross 5764

Description: Define the cross product function. (Contributed by SF, 9-Feb-2015.)

Assertion

Ref	Expression
df-cross	|- Cross = (x e. _V, y e. _V |-> (x X. y))

Distinct variable group:   x,y

Detailed syntax breakdown of Definition df-cross

Step	Hyp	Ref	Expression
1		ccross 5763	. 2 class Cross
2		vx	. . 3 setvar x
3		vy	. . 3 setvar y
4		cvv 2859	. . 3 class _V
5	2	cv 1641	. . . 4 class x
6	3	cv 1641	. . . 4 class y
7	5, 6	cxp 4770	. . 3 class (x X. y)
8	2, 3, 4, 4, 7	cmpt2 5653	. 2 class (x e. _V, y e. _V |-> (x X. y))
9	1, 8	wceq 1642	1 wff Cross = (x e. _V, y e. _V |-> (x X. y))

This definition is referenced by:  ovcross  5845  fncross  5846  crossex  5850