Step |
Hyp |
Ref |
Expression |
1 |
|
dchrabs.g |
|
2 |
|
dchrabs.d |
|
3 |
|
dchrabs.x |
|
4 |
|
dchrabs.z |
|
5 |
|
dchrabs.u |
|
6 |
|
dchrabs.a |
|
7 |
|
eqid |
|
8 |
1 4 2 7 3
|
dchrf |
|
9 |
7 5
|
unitss |
|
10 |
9 6
|
sseldi |
|
11 |
8 10
|
ffvelrnd |
|
12 |
1 4 2 7 5 3 10
|
dchrn0 |
|
13 |
6 12
|
mpbird |
|
14 |
11 13
|
absrpcld |
|
15 |
1 2
|
dchrrcl |
|
16 |
4 7
|
znfi |
|
17 |
3 15 16
|
3syl |
|
18 |
|
ssfi |
|
19 |
17 9 18
|
sylancl |
|
20 |
|
hashcl |
|
21 |
19 20
|
syl |
|
22 |
21
|
nn0red |
|
23 |
22
|
recnd |
|
24 |
6
|
ne0d |
|
25 |
|
hashnncl |
|
26 |
19 25
|
syl |
|
27 |
24 26
|
mpbird |
|
28 |
27
|
nnne0d |
|
29 |
23 28
|
reccld |
|
30 |
14 22 29
|
cxpmuld |
|
31 |
23 28
|
recidd |
|
32 |
31
|
oveq2d |
|
33 |
11
|
abscld |
|
34 |
33
|
recnd |
|
35 |
|
cxpexp |
|
36 |
34 21 35
|
syl2anc |
|
37 |
11 21
|
absexpd |
|
38 |
|
cnring |
|
39 |
|
cnfldbas |
|
40 |
|
cnfld0 |
|
41 |
|
cndrng |
|
42 |
39 40 41
|
drngui |
|
43 |
|
eqid |
|
44 |
42 43
|
unitsubm |
|
45 |
38 44
|
mp1i |
|
46 |
|
eldifsn |
|
47 |
11 13 46
|
sylanbrc |
|
48 |
|
eqid |
|
49 |
|
eqid |
|
50 |
|
eqid |
|
51 |
48 49 50
|
submmulg |
|
52 |
45 21 47 51
|
syl3anc |
|
53 |
|
eqid |
|
54 |
1 4 2 5 53 49 3
|
dchrghm |
|
55 |
21
|
nn0zd |
|
56 |
5 53
|
unitgrpbas |
|
57 |
|
eqid |
|
58 |
56 57 50
|
ghmmulg |
|
59 |
54 55 6 58
|
syl3anc |
|
60 |
3 15
|
syl |
|
61 |
60
|
nnnn0d |
|
62 |
4
|
zncrng |
|
63 |
|
crngring |
|
64 |
61 62 63
|
3syl |
|
65 |
5 53
|
unitgrp |
|
66 |
64 65
|
syl |
|
67 |
|
eqid |
|
68 |
56 67
|
oddvds2 |
|
69 |
66 19 6 68
|
syl3anc |
|
70 |
|
eqid |
|
71 |
56 67 57 70
|
oddvds |
|
72 |
66 6 55 71
|
syl3anc |
|
73 |
69 72
|
mpbid |
|
74 |
|
eqid |
|
75 |
5 53 74
|
unitgrpid |
|
76 |
64 75
|
syl |
|
77 |
73 76
|
eqtr4d |
|
78 |
77
|
fveq2d |
|
79 |
6
|
fvresd |
|
80 |
79
|
oveq2d |
|
81 |
59 78 80
|
3eqtr3d |
|
82 |
5 74
|
1unit |
|
83 |
|
fvres |
|
84 |
64 82 83
|
3syl |
|
85 |
52 81 84
|
3eqtr2d |
|
86 |
|
cnfldexp |
|
87 |
11 21 86
|
syl2anc |
|
88 |
1 4 2
|
dchrmhm |
|
89 |
88 3
|
sseldi |
|
90 |
|
eqid |
|
91 |
90 74
|
ringidval |
|
92 |
|
cnfld1 |
|
93 |
43 92
|
ringidval |
|
94 |
91 93
|
mhm0 |
|
95 |
89 94
|
syl |
|
96 |
85 87 95
|
3eqtr3d |
|
97 |
96
|
fveq2d |
|
98 |
|
abs1 |
|
99 |
97 98
|
eqtrdi |
|
100 |
36 37 99
|
3eqtr2d |
|
101 |
100
|
oveq1d |
|
102 |
30 32 101
|
3eqtr3d |
|
103 |
34
|
cxp1d |
|
104 |
29
|
1cxpd |
|
105 |
102 103 104
|
3eqtr3d |
|