Step |
Hyp |
Ref |
Expression |
1 |
|
zlmodzxzldep.z |
|
2 |
|
zlmodzxzldep.a |
|
3 |
|
zlmodzxzldep.b |
|
4 |
|
zlmodzxzequap.o |
|
5 |
|
zlmodzxzequap.m |
|
6 |
|
zlmodzxzequap.t |
|
7 |
|
3cn |
|
8 |
|
2cn |
|
9 |
7 8
|
mulneg1i |
|
10 |
9
|
oveq2i |
|
11 |
8 7
|
mulcli |
|
12 |
7 8
|
mulcli |
|
13 |
|
negsub |
|
14 |
7 8
|
mulcomi |
|
15 |
14
|
oveq2i |
|
16 |
11
|
subidi |
|
17 |
15 16
|
eqtri |
|
18 |
13 17
|
eqtrdi |
|
19 |
11 12 18
|
mp2an |
|
20 |
10 19
|
eqtri |
|
21 |
20
|
opeq2i |
|
22 |
|
4cn |
|
23 |
7 22
|
mulneg1i |
|
24 |
23
|
oveq2i |
|
25 |
|
6cn |
|
26 |
8 25
|
mulcli |
|
27 |
7 22
|
mulcli |
|
28 |
26 27
|
negsubi |
|
29 |
|
2t6m3t4e0 |
|
30 |
28 29
|
eqtri |
|
31 |
24 30
|
eqtri |
|
32 |
31
|
opeq2i |
|
33 |
21 32
|
preq12i |
|
34 |
2
|
oveq2i |
|
35 |
|
2z |
|
36 |
|
3z |
|
37 |
|
6nn |
|
38 |
37
|
nnzi |
|
39 |
1 6
|
zlmodzxzscm |
|
40 |
35 36 38 39
|
mp3an |
|
41 |
34 40
|
eqtri |
|
42 |
3
|
oveq2i |
|
43 |
|
znegcl |
|
44 |
36 43
|
ax-mp |
|
45 |
|
4z |
|
46 |
1 6
|
zlmodzxzscm |
|
47 |
44 35 45 46
|
mp3an |
|
48 |
42 47
|
eqtri |
|
49 |
41 48
|
oveq12i |
|
50 |
|
zmulcl |
|
51 |
35 36 50
|
mp2an |
|
52 |
|
zmulcl |
|
53 |
44 35 52
|
mp2an |
|
54 |
|
zmulcl |
|
55 |
35 38 54
|
mp2an |
|
56 |
|
zmulcl |
|
57 |
44 45 56
|
mp2an |
|
58 |
1 5
|
zlmodzxzadd |
|
59 |
51 53 55 57 58
|
mp4an |
|
60 |
49 59
|
eqtri |
|
61 |
33 60 4
|
3eqtr4i |
|