Definition df-addcfn 5747

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

Assertion

Ref	Expression
df-addcfn	⊢ AddC = (x ∈ V, y ∈ V ↦ (x +c y))

Distinct variable group:   x,y

Detailed syntax breakdown of Definition df-addcfn

Step	Hyp	Ref	Expression
1		caddcfn 5746	. 2 class AddC
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	cplc 4376	. . 3 class (x +c y)
8	2, 3, 4, 4, 7	cmpt2 5654	. 2 class (x ∈ V, y ∈ V ↦ (x +c y))
9	1, 8	wceq 1642	1 wff AddC = (x ∈ V, y ∈ V ↦ (x +c y))

This definition is referenced by:  addcfnex  5825  addcfn  5826  braddcfn  5827