Step |
Hyp |
Ref |
Expression |
1 |
|
etransclem9.k |
|
2 |
|
etransclem9.kn0 |
|
3 |
|
etransclem9.m |
|
4 |
|
etransclem9.n |
|
5 |
|
etransclem9.km |
|
6 |
|
etransclem9.kn |
|
7 |
|
dvdsval2 |
|
8 |
1 2 3 7
|
syl3anc |
|
9 |
5 8
|
mtbid |
|
10 |
|
df-neg |
|
11 |
10
|
a1i |
|
12 |
|
oveq1 |
|
13 |
12
|
eqcomd |
|
14 |
13
|
adantl |
|
15 |
3
|
zcnd |
|
16 |
4
|
zcnd |
|
17 |
15 16
|
pncand |
|
18 |
17
|
adantr |
|
19 |
11 14 18
|
3eqtrrd |
|
20 |
19
|
oveq1d |
|
21 |
|
dvdsnegb |
|
22 |
1 4 21
|
syl2anc |
|
23 |
6 22
|
mpbid |
|
24 |
4
|
znegcld |
|
25 |
|
dvdsval2 |
|
26 |
1 2 24 25
|
syl3anc |
|
27 |
23 26
|
mpbid |
|
28 |
27
|
adantr |
|
29 |
20 28
|
eqeltrd |
|
30 |
9 29
|
mtand |
|
31 |
30
|
neqned |
|