MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-cos Unicode version

Definition df-cos 13806
Description: Define the cosine function. (Contributed by NM, 14-Mar-2005.)
Assertion
Ref Expression
df-cos

Detailed syntax breakdown of Definition df-cos
StepHypRef Expression
1 ccos 13800 . 2
2 vx . . 3
3 cc 9511 . . 3
4 ci 9515 . . . . . . 7
52cv 1394 . . . . . . 7
6 cmul 9518 . . . . . . 7
74, 5, 6co 6296 . . . . . 6
8 ce 13797 . . . . . 6
97, 8cfv 5593 . . . . 5
104cneg 9829 . . . . . . 7
1110, 5, 6co 6296 . . . . . 6
1211, 8cfv 5593 . . . . 5
13 caddc 9516 . . . . 5
149, 12, 13co 6296 . . . 4
15 c2 10610 . . . 4
16 cdiv 10231 . . . 4
1714, 15, 16co 6296 . . 3
182, 3, 17cmpt 4510 . 2
191, 18wceq 1395 1
Colors of variables: wff setvar class
This definition is referenced by:  cosval  13858  cosf  13860  dvsincos  22382  coscn  22840
  Copyright terms: Public domain W3C validator