Step |
Hyp |
Ref |
Expression |
1 |
|
zlmodzxzequa.z |
|
2 |
|
zlmodzxzequa.o |
|
3 |
|
zlmodzxzequa.t |
|
4 |
|
zlmodzxzequa.m |
|
5 |
|
zlmodzxzequa.a |
|
6 |
|
zlmodzxzequa.b |
|
7 |
|
3cn |
|
8 |
7
|
2timesi |
|
9 |
|
3p3e6 |
|
10 |
8 9
|
eqtri |
|
11 |
|
3t2e6 |
|
12 |
10 11
|
oveq12i |
|
13 |
|
6cn |
|
14 |
13
|
subidi |
|
15 |
12 14
|
eqtri |
|
16 |
15
|
opeq2i |
|
17 |
|
2t6m3t4e0 |
|
18 |
17
|
opeq2i |
|
19 |
16 18
|
preq12i |
|
20 |
5
|
oveq2i |
|
21 |
|
2z |
|
22 |
|
3z |
|
23 |
|
6nn |
|
24 |
23
|
nnzi |
|
25 |
1 3
|
zlmodzxzscm |
|
26 |
21 22 24 25
|
mp3an |
|
27 |
20 26
|
eqtri |
|
28 |
6
|
oveq2i |
|
29 |
|
4z |
|
30 |
1 3
|
zlmodzxzscm |
|
31 |
22 21 29 30
|
mp3an |
|
32 |
28 31
|
eqtri |
|
33 |
27 32
|
oveq12i |
|
34 |
|
zmulcl |
|
35 |
21 22 34
|
mp2an |
|
36 |
|
zmulcl |
|
37 |
22 21 36
|
mp2an |
|
38 |
|
zmulcl |
|
39 |
21 24 38
|
mp2an |
|
40 |
|
zmulcl |
|
41 |
22 29 40
|
mp2an |
|
42 |
1 4
|
zlmodzxzsub |
|
43 |
35 37 39 41 42
|
mp4an |
|
44 |
33 43
|
eqtri |
|
45 |
19 44 2
|
3eqtr4i |
|