Step |
Hyp |
Ref |
Expression |
1 |
|
etransclem7.n |
|
2 |
|
etransclem7.c |
|
3 |
|
etransclem7.j |
|
4 |
|
fzfid |
|
5 |
|
0zd |
|
6 |
|
0zd |
|
7 |
1
|
nnzd |
|
8 |
7
|
ad2antrr |
|
9 |
7
|
adantr |
|
10 |
2
|
adantr |
|
11 |
|
0zd |
|
12 |
|
fzp1ss |
|
13 |
11 12
|
syl |
|
14 |
|
id |
|
15 |
|
1e0p1 |
|
16 |
15
|
oveq1i |
|
17 |
14 16
|
eleqtrdi |
|
18 |
13 17
|
sseldd |
|
19 |
18
|
adantl |
|
20 |
10 19
|
ffvelrnd |
|
21 |
20
|
elfzelzd |
|
22 |
9 21
|
zsubcld |
|
23 |
22
|
adantr |
|
24 |
6 8 23
|
3jca |
|
25 |
21
|
zred |
|
26 |
25
|
adantr |
|
27 |
8
|
zred |
|
28 |
|
simpr |
|
29 |
26 27 28
|
nltled |
|
30 |
27 26
|
subge0d |
|
31 |
29 30
|
mpbird |
|
32 |
|
elfzle1 |
|
33 |
20 32
|
syl |
|
34 |
33
|
adantr |
|
35 |
27 26
|
subge02d |
|
36 |
34 35
|
mpbid |
|
37 |
24 31 36
|
jca32 |
|
38 |
|
elfz2 |
|
39 |
37 38
|
sylibr |
|
40 |
|
permnn |
|
41 |
39 40
|
syl |
|
42 |
41
|
nnzd |
|
43 |
3
|
elfzelzd |
|
44 |
43
|
adantr |
|
45 |
|
elfzelz |
|
46 |
45
|
adantl |
|
47 |
44 46
|
zsubcld |
|
48 |
47
|
adantr |
|
49 |
|
elnn0z |
|
50 |
23 31 49
|
sylanbrc |
|
51 |
|
zexpcl |
|
52 |
48 50 51
|
syl2anc |
|
53 |
42 52
|
zmulcld |
|
54 |
5 53
|
ifclda |
|
55 |
4 54
|
fprodzcl |
|