![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > df-sin | Unicode version |
Description: Define the sine function. (Contributed by NM, 14-Mar-2005.) |
Ref | Expression |
---|---|
df-sin |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csin 11099 |
. 2
![]() ![]() | |
2 | vx |
. . 3
![]() ![]() | |
3 | cc 7445 |
. . 3
![]() ![]() | |
4 | ci 7449 |
. . . . . . 7
![]() ![]() | |
5 | 2 | cv 1295 |
. . . . . . 7
![]() ![]() |
6 | cmul 7452 |
. . . . . . 7
![]() ![]() | |
7 | 4, 5, 6 | co 5690 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
8 | ce 11097 |
. . . . . 6
![]() ![]() | |
9 | 7, 8 | cfv 5049 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | 4 | cneg 7751 |
. . . . . . 7
![]() ![]() ![]() |
11 | 10, 5, 6 | co 5690 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 11, 8 | cfv 5049 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | cmin 7750 |
. . . . 5
![]() ![]() | |
14 | 9, 12, 13 | co 5690 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | c2 8571 |
. . . . 5
![]() ![]() | |
16 | 15, 4, 6 | co 5690 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() |
17 | cdiv 8236 |
. . . 4
![]() ![]() | |
18 | 14, 16, 17 | co 5690 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 2, 3, 18 | cmpt 3921 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
20 | 1, 19 | wceq 1296 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: sinval 11158 sinf 11160 |
Copyright terms: Public domain | W3C validator |