Step |
Hyp |
Ref |
Expression |
1 |
|
zlmodzxzldep.z |
|
2 |
|
zlmodzxzldep.a |
|
3 |
|
zlmodzxzldep.b |
|
4 |
|
zlmodzxzldeplem.f |
|
5 |
|
prex |
|
6 |
2 5
|
eqeltri |
|
7 |
|
prex |
|
8 |
3 7
|
eqeltri |
|
9 |
|
2ne0 |
|
10 |
4
|
fveq1i |
|
11 |
1 2 3
|
zlmodzxzldeplem |
|
12 |
|
2ex |
|
13 |
6 12
|
fvpr1 |
|
14 |
11 13
|
mp1i |
|
15 |
10 14
|
syl5eq |
|
16 |
15
|
neeq1d |
|
17 |
9 16
|
mpbiri |
|
18 |
17
|
orcd |
|
19 |
|
fveq2 |
|
20 |
19
|
neeq1d |
|
21 |
|
fveq2 |
|
22 |
21
|
neeq1d |
|
23 |
20 22
|
rexprg |
|
24 |
18 23
|
mpbird |
|
25 |
6 8 24
|
mp2an |
|