Step |
Hyp |
Ref |
Expression |
1 |
|
isdrngd.b |
|
2 |
|
isdrngd.t |
|
3 |
|
isdrngd.z |
|
4 |
|
isdrngd.u |
|
5 |
|
isdrngd.r |
|
6 |
|
isdrngd.n |
|
7 |
|
isdrngd.o |
|
8 |
|
isdrngd.i |
|
9 |
|
isdrngd.j |
|
10 |
|
isdrngd.k |
|
11 |
|
difss |
|
12 |
11 1
|
sseqtrid |
|
13 |
|
eqid |
|
14 |
|
eqid |
|
15 |
|
eqid |
|
16 |
14 15
|
mgpbas |
|
17 |
13 16
|
ressbas2 |
|
18 |
12 17
|
syl |
|
19 |
|
fvex |
|
20 |
1 19
|
eqeltrdi |
|
21 |
|
difexg |
|
22 |
|
eqid |
|
23 |
14 22
|
mgpplusg |
|
24 |
13 23
|
ressplusg |
|
25 |
20 21 24
|
3syl |
|
26 |
2 25
|
eqtrd |
|
27 |
|
eldifsn |
|
28 |
|
eldifsn |
|
29 |
15 22
|
ringcl |
|
30 |
5 29
|
syl3an1 |
|
31 |
30
|
3expib |
|
32 |
1
|
eleq2d |
|
33 |
1
|
eleq2d |
|
34 |
32 33
|
anbi12d |
|
35 |
2
|
oveqd |
|
36 |
35 1
|
eleq12d |
|
37 |
31 34 36
|
3imtr4d |
|
38 |
37
|
3impib |
|
39 |
38
|
3adant2r |
|
40 |
39
|
3adant3r |
|
41 |
|
eldifsn |
|
42 |
40 6 41
|
sylanbrc |
|
43 |
28 42
|
syl3an3b |
|
44 |
27 43
|
syl3an2b |
|
45 |
15 22
|
ringass |
|
46 |
45
|
ex |
|
47 |
5 46
|
syl |
|
48 |
1
|
eleq2d |
|
49 |
32 33 48
|
3anbi123d |
|
50 |
|
eqidd |
|
51 |
2 35 50
|
oveq123d |
|
52 |
|
eqidd |
|
53 |
2
|
oveqd |
|
54 |
2 52 53
|
oveq123d |
|
55 |
51 54
|
eqeq12d |
|
56 |
47 49 55
|
3imtr4d |
|
57 |
|
eldifi |
|
58 |
|
eldifi |
|
59 |
|
eldifi |
|
60 |
57 58 59
|
3anim123i |
|
61 |
56 60
|
impel |
|
62 |
|
eqid |
|
63 |
15 62
|
ringidcl |
|
64 |
5 63
|
syl |
|
65 |
64 4 1
|
3eltr4d |
|
66 |
|
eldifsn |
|
67 |
65 7 66
|
sylanbrc |
|
68 |
15 22 62
|
ringlidm |
|
69 |
68
|
ex |
|
70 |
5 69
|
syl |
|
71 |
2 4 52
|
oveq123d |
|
72 |
71
|
eqeq1d |
|
73 |
70 32 72
|
3imtr4d |
|
74 |
73
|
imp |
|
75 |
74
|
adantrr |
|
76 |
27 75
|
sylan2b |
|
77 |
|
eldifsn |
|
78 |
8 9 77
|
sylanbrc |
|
79 |
27 78
|
sylan2b |
|
80 |
27 10
|
sylan2b |
|
81 |
18 26 44 61 67 76 79 80
|
isgrpd |
|
82 |
3
|
sneqd |
|
83 |
1 82
|
difeq12d |
|
84 |
83
|
oveq2d |
|
85 |
84
|
eleq1d |
|
86 |
85
|
anbi2d |
|
87 |
5 81 86
|
mpbi2and |
|
88 |
|
eqid |
|
89 |
|
eqid |
|
90 |
15 88 89
|
isdrng2 |
|
91 |
87 90
|
sylibr |
|