Step |
Hyp |
Ref |
Expression |
1 |
|
sraassab.a |
|
2 |
|
sraassab.z |
|
3 |
|
sraassab.w |
|
4 |
|
sraassab.s |
|
5 |
|
eqid |
|
6 |
5
|
subrgss |
|
7 |
4 6
|
syl |
|
8 |
7
|
adantr |
|
9 |
8
|
sselda |
|
10 |
|
simpllr |
|
11 |
|
eqid |
|
12 |
11
|
subrgbas |
|
13 |
4 12
|
syl |
|
14 |
1
|
a1i |
|
15 |
14 7
|
srasca |
|
16 |
15
|
fveq2d |
|
17 |
13 16
|
eqtrd |
|
18 |
17
|
eqimssd |
|
19 |
18
|
sselda |
|
20 |
19
|
ad4ant13 |
|
21 |
14 7
|
srabase |
|
22 |
21
|
eqimssd |
|
23 |
22
|
ad2antrr |
|
24 |
23
|
sselda |
|
25 |
|
eqid |
|
26 |
5 25
|
ringidcl |
|
27 |
3 26
|
syl |
|
28 |
27 21
|
eleqtrd |
|
29 |
28
|
ad3antrrr |
|
30 |
|
eqid |
|
31 |
|
eqid |
|
32 |
|
eqid |
|
33 |
|
eqid |
|
34 |
|
eqid |
|
35 |
30 31 32 33 34
|
assaassr |
|
36 |
10 20 24 29 35
|
syl13anc |
|
37 |
14 7
|
sramulr |
|
38 |
37
|
ad3antrrr |
|
39 |
38
|
oveqd |
|
40 |
14 7
|
sravsca |
|
41 |
40
|
ad3antrrr |
|
42 |
41
|
oveqd |
|
43 |
|
eqid |
|
44 |
3
|
ad3antrrr |
|
45 |
9
|
adantr |
|
46 |
5 43 25 44 45
|
ringridmd |
|
47 |
42 46
|
eqtr3d |
|
48 |
47
|
oveq2d |
|
49 |
39 48
|
eqtr3d |
|
50 |
41
|
oveqd |
|
51 |
38
|
oveqd |
|
52 |
|
simpr |
|
53 |
5 43 25 44 52
|
ringridmd |
|
54 |
51 53
|
eqtr3d |
|
55 |
54
|
oveq2d |
|
56 |
50 55
|
eqtr3d |
|
57 |
36 49 56
|
3eqtr3rd |
|
58 |
57
|
ralrimiva |
|
59 |
|
eqid |
|
60 |
59 5
|
mgpbas |
|
61 |
59 43
|
mgpplusg |
|
62 |
60 61 2
|
elcntr |
|
63 |
9 58 62
|
sylanbrc |
|
64 |
63
|
ex |
|
65 |
64
|
ssrdv |
|
66 |
21
|
adantr |
|
67 |
15
|
adantr |
|
68 |
13
|
adantr |
|
69 |
40
|
adantr |
|
70 |
37
|
adantr |
|
71 |
1
|
sralmod |
|
72 |
4 71
|
syl |
|
73 |
72
|
adantr |
|
74 |
1 5
|
sraring |
|
75 |
3 7 74
|
syl2anc |
|
76 |
75
|
adantr |
|
77 |
3
|
ad2antrr |
|
78 |
7
|
adantr |
|
79 |
78
|
sselda |
|
80 |
79
|
3ad2antr1 |
|
81 |
|
simpr2 |
|
82 |
|
simpr3 |
|
83 |
5 43 77 80 81 82
|
ringassd |
|
84 |
|
ssel2 |
|
85 |
84
|
ad2ant2lr |
|
86 |
|
simprr |
|
87 |
60 61 2
|
cntri |
|
88 |
85 86 87
|
syl2anc |
|
89 |
88
|
3adantr3 |
|
90 |
89
|
oveq1d |
|
91 |
5 43 77 81 80 82
|
ringassd |
|
92 |
90 83 91
|
3eqtr3rd |
|
93 |
66 67 68 69 70 73 76 83 92
|
isassad |
|
94 |
65 93
|
impbida |
|