Step |
Hyp |
Ref |
Expression |
1 |
|
etransclem37.s |
|
2 |
|
etransclem37.x |
|
3 |
|
etransclem37.p |
|
4 |
|
etransclem37.m |
|
5 |
|
etransclem37.f |
|
6 |
|
etransclem37.n |
|
7 |
|
etransclem37.h |
|
8 |
|
etransclem37.c |
|
9 |
|
etransclem37.9 |
|
10 |
|
etransclem37.j |
|
11 |
8 6
|
etransclem16 |
|
12 |
|
nnm1nn0 |
|
13 |
3 12
|
syl |
|
14 |
13
|
faccld |
|
15 |
14
|
nnzd |
|
16 |
8 6
|
etransclem12 |
|
17 |
16
|
eleq2d |
|
18 |
17
|
biimpa |
|
19 |
|
rabid |
|
20 |
19
|
biimpi |
|
21 |
20
|
simprd |
|
22 |
18 21
|
syl |
|
23 |
22
|
eqcomd |
|
24 |
23
|
fveq2d |
|
25 |
24
|
oveq1d |
|
26 |
|
nfcv |
|
27 |
|
fzfid |
|
28 |
|
nn0ex |
|
29 |
28
|
a1i |
|
30 |
|
fzssnn0 |
|
31 |
|
mapss |
|
32 |
29 30 31
|
sylancl |
|
33 |
20
|
simpld |
|
34 |
32 33
|
sseldd |
|
35 |
18 34
|
syl |
|
36 |
26 27 35
|
mccl |
|
37 |
25 36
|
eqeltrd |
|
38 |
37
|
nnzd |
|
39 |
3
|
adantr |
|
40 |
4
|
adantr |
|
41 |
|
elmapi |
|
42 |
18 33 41
|
3syl |
|
43 |
9
|
elfzelzd |
|
44 |
43
|
adantr |
|
45 |
39 40 42 44
|
etransclem10 |
|
46 |
|
fzfid |
|
47 |
39
|
adantr |
|
48 |
42
|
adantr |
|
49 |
|
0z |
|
50 |
|
fzp1ss |
|
51 |
49 50
|
ax-mp |
|
52 |
51
|
sseli |
|
53 |
|
1e0p1 |
|
54 |
53
|
oveq1i |
|
55 |
52 54
|
eleq2s |
|
56 |
55
|
adantl |
|
57 |
44
|
adantr |
|
58 |
47 48 56 57
|
etransclem3 |
|
59 |
46 58
|
fprodzcl |
|
60 |
45 59
|
zmulcld |
|
61 |
38 60
|
zmulcld |
|
62 |
6
|
adantr |
|
63 |
|
etransclem11 |
|
64 |
8 63
|
eqtri |
|
65 |
|
simpr |
|
66 |
9
|
adantr |
|
67 |
|
fveq2 |
|
68 |
67
|
fveq2d |
|
69 |
68
|
cbvprodv |
|
70 |
69
|
oveq2i |
|
71 |
67
|
breq2d |
|
72 |
67
|
oveq2d |
|
73 |
72
|
fveq2d |
|
74 |
73
|
oveq2d |
|
75 |
|
oveq2 |
|
76 |
75 72
|
oveq12d |
|
77 |
74 76
|
oveq12d |
|
78 |
71 77
|
ifbieq2d |
|
79 |
78
|
cbvprodv |
|
80 |
79
|
oveq2i |
|
81 |
70 80
|
oveq12i |
|
82 |
39 40 62 64 65 66 81
|
etransclem28 |
|
83 |
11 15 61 82
|
fsumdvds |
|
84 |
1 2 3 4 5 6 7 8 10
|
etransclem31 |
|
85 |
83 84
|
breqtrrd |
|