Step |
Hyp |
Ref |
Expression |
1 |
|
readvcot.d |
|
2 |
|
reelprrecn |
|
3 |
2
|
a1i |
|
4 |
|
fveq2 |
|
5 |
4
|
neeq1d |
|
6 |
5 1
|
elrab2 |
|
7 |
|
resincl |
|
8 |
7
|
adantr |
|
9 |
|
simpr |
|
10 |
8 9
|
eldifsnd |
|
11 |
6 10
|
sylbi |
|
12 |
11
|
adantl |
|
13 |
|
fvexd |
|
14 |
|
eldifi |
|
15 |
14
|
adantl |
|
16 |
15
|
recnd |
|
17 |
16
|
abscld |
|
18 |
17
|
recnd |
|
19 |
|
eldifsni |
|
20 |
19
|
adantl |
|
21 |
16 20
|
absne0d |
|
22 |
18 21
|
logcld |
|
23 |
|
ovexd |
|
24 |
7
|
recnd |
|
25 |
24
|
adantl |
|
26 |
|
fvexd |
|
27 |
|
eqid |
|
28 |
|
cnopn |
|
29 |
28
|
a1i |
|
30 |
|
ax-resscn |
|
31 |
|
dfss2 |
|
32 |
30 31
|
mpbi |
|
33 |
32
|
a1i |
|
34 |
|
sincl |
|
35 |
34
|
adantl |
|
36 |
|
fvexd |
|
37 |
|
dvsin |
|
38 |
|
sinf |
|
39 |
38
|
a1i |
|
40 |
39
|
feqmptd |
|
41 |
40
|
oveq2d |
|
42 |
|
cosf |
|
43 |
42
|
a1i |
|
44 |
43
|
feqmptd |
|
45 |
37 41 44
|
3eqtr3a |
|
46 |
27 3 29 33 35 36 45
|
dvmptres3 |
|
47 |
1
|
ssrab3 |
|
48 |
47
|
a1i |
|
49 |
|
tgioo4 |
|
50 |
1
|
resuppsinopn |
|
51 |
50
|
a1i |
|
52 |
3 25 26 46 48 49 27 51
|
dvmptres |
|
53 |
|
eqid |
|
54 |
53
|
readvrec |
|
55 |
54
|
a1i |
|
56 |
|
2fveq3 |
|
57 |
|
oveq2 |
|
58 |
3 3 12 13 22 23 52 55 56 57
|
dvmptco |
|
59 |
58
|
mptru |
|
60 |
6
|
simplbi |
|
61 |
60
|
recoscld |
|
62 |
61
|
recnd |
|
63 |
6 8
|
sylbi |
|
64 |
63
|
recnd |
|
65 |
6 9
|
sylbi |
|
66 |
62 64 65
|
divrec2d |
|
67 |
66
|
mpteq2ia |
|
68 |
59 67
|
eqtr4i |
|