Step |
Hyp |
Ref |
Expression |
1 |
|
zlmodzxz.z |
|
2 |
|
zlmodzxzadd.p |
|
3 |
|
eqid |
|
4 |
|
zringring |
|
5 |
4
|
a1i |
|
6 |
|
prex |
|
7 |
6
|
a1i |
|
8 |
|
simpl |
|
9 |
|
simpl |
|
10 |
1
|
zlmodzxzel |
|
11 |
8 9 10
|
syl2an |
|
12 |
|
simpr |
|
13 |
|
simpr |
|
14 |
1
|
zlmodzxzel |
|
15 |
12 13 14
|
syl2an |
|
16 |
|
eqid |
|
17 |
1 3 5 7 11 15 16 2
|
frlmplusgval |
|
18 |
|
c0ex |
|
19 |
|
1ex |
|
20 |
18 19
|
pm3.2i |
|
21 |
20
|
a1i |
|
22 |
8 9
|
anim12i |
|
23 |
|
0ne1 |
|
24 |
23
|
a1i |
|
25 |
|
fnprg |
|
26 |
21 22 24 25
|
syl3anc |
|
27 |
12 13
|
anim12i |
|
28 |
|
fnprg |
|
29 |
21 27 24 28
|
syl3anc |
|
30 |
7 26 29
|
offvalfv |
|
31 |
|
zringplusg |
|
32 |
31
|
eqcomi |
|
33 |
32
|
oveqi |
|
34 |
33
|
opeq2i |
|
35 |
32
|
oveqi |
|
36 |
35
|
opeq2i |
|
37 |
34 36
|
preq12i |
|
38 |
18
|
a1i |
|
39 |
19
|
a1i |
|
40 |
|
ovexd |
|
41 |
|
ovexd |
|
42 |
|
fveq2 |
|
43 |
|
fveq2 |
|
44 |
42 43
|
oveq12d |
|
45 |
8
|
adantr |
|
46 |
|
fvpr1g |
|
47 |
38 45 24 46
|
syl3anc |
|
48 |
12
|
adantr |
|
49 |
|
fvpr1g |
|
50 |
38 48 24 49
|
syl3anc |
|
51 |
47 50
|
oveq12d |
|
52 |
44 51
|
sylan9eqr |
|
53 |
|
fveq2 |
|
54 |
|
fveq2 |
|
55 |
53 54
|
oveq12d |
|
56 |
9
|
adantl |
|
57 |
|
fvpr2g |
|
58 |
39 56 24 57
|
syl3anc |
|
59 |
13
|
adantl |
|
60 |
|
fvpr2g |
|
61 |
39 59 24 60
|
syl3anc |
|
62 |
58 61
|
oveq12d |
|
63 |
55 62
|
sylan9eqr |
|
64 |
38 39 40 41 52 63
|
fmptpr |
|
65 |
37 64
|
syl5reqr |
|
66 |
17 30 65
|
3eqtrd |
|