Definition df-cup 5743

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

Assertion

Ref	Expression
df-cup	⊢ Cup = (x ∈ V, y ∈ V ↦ (x ∪ y))

Distinct variable group:   x,y

Detailed syntax breakdown of Definition df-cup

Step	Hyp	Ref	Expression
1		ccup 5742	. 2 class Cup
2		vx	. . 3 setvar x
3		vy	. . 3 setvar y
4		cvv 2860	. . 3 class V
5	2	cv 1641	. . . 4 class x
6	3	cv 1641	. . . 4 class y
7	5, 6	cun 3208	. . 3 class (x ∪ y)
8	2, 3, 4, 4, 7	cmpt2 5654	. 2 class (x ∈ V, y ∈ V ↦ (x ∪ y))
9	1, 8	wceq 1642	1 wff Cup = (x ∈ V, y ∈ V ↦ (x ∪ y))

This definition is referenced by:  cupvalg  5813  fncup  5814  cupex  5817