Definition df-tan 13807

Description: Define the tangent function. We define it this way for cmpt 4510, which requires the form . (Contributed by Mario Carneiro, 14-Mar-2014.)

Assertion

Ref	Expression
df-tan

Detailed syntax breakdown of Definition df-tan

Step	Hyp	Ref	Expression
1		ctan 13801	. 2
2		vx	. . 3
3		ccos 13800	. . . . 5
4	3	ccnv 5003	. . . 4
5		cc 9511	. . . . 5
6		cc0 9513	. . . . . 6
7	6	csn 4029	. . . . 5
8	5, 7	cdif 3472	. . . 4
9	4, 8	cima 5007	. . 3
10	2	cv 1394	. . . . 5
11		csin 13799	. . . . 5
12	10, 11	cfv 5593	. . . 4
13	10, 3	cfv 5593	. . . 4
14		cdiv 10231	. . . 4
15	12, 13, 14	co 6296	. . 3
16	2, 9, 15	cmpt 4510	. 2
17	1, 16	wceq 1395	1

This definition is referenced by:  tanval  13863  dvtan  30065