Definition df-of 6540

Description: Define the function operation map. The definition is designed so that if is a binary operation, then is the analogous operation on functions which corresponds to applying pointwise to the values of the functions. (Contributed by Mario Carneiro, 20-Jul-2014.)

Assertion

Ref	Expression
df-of

Distinct variable group:   ,,,

Detailed syntax breakdown of Definition df-of

Step	Hyp	Ref	Expression
1		cR	. . 3
2	1	cof 6538	. 2
3		vf	. . 3
4		vg	. . 3
5		cvv 3109	. . 3
6		vx	. . . 4
7	3	cv 1394	. . . . . 6
8	7	cdm 5004	. . . . 5
9	4	cv 1394	. . . . . 6
10	9	cdm 5004	. . . . 5
11	8, 10	cin 3474	. . . 4
12	6	cv 1394	. . . . . 6
13	12, 7	cfv 5593	. . . . 5
14	12, 9	cfv 5593	. . . . 5
15	13, 14, 1	co 6296	. . . 4
16	6, 11, 15	cmpt 4510	. . 3
17	3, 4, 5, 5, 16	cmpt2 6298	. 2
18	2, 17	wceq 1395	1

This definition is referenced by:  ofeq  6542  ofexg  6544  offval  6547  offval3  6794  ofmres  6796