Step |
Hyp |
Ref |
Expression |
1 |
|
selvval2lem4.p |
|
2 |
|
selvval2lem4.b |
|
3 |
|
selvval2lem4.u |
|
4 |
|
selvval2lem4.t |
|
5 |
|
selvval2lem4.c |
|
6 |
|
selvval2lem4.d |
|
7 |
|
selvval2lem4.s |
|
8 |
|
selvval2lem4.w |
|
9 |
|
selvval2lem4.x |
|
10 |
|
selvval2lem4.i |
|
11 |
|
selvval2lem4.r |
|
12 |
|
selvval2lem4.j |
|
13 |
|
selvval2lem4.f |
|
14 |
|
difexg |
|
15 |
10 14
|
syl |
|
16 |
10 12
|
ssexd |
|
17 |
3 4 5 6 15 16 11
|
selvval2lem2 |
|
18 |
|
eqid |
|
19 |
|
eqid |
|
20 |
18 19
|
rhmf |
|
21 |
|
ffrn |
|
22 |
17 20 21
|
3syl |
|
23 |
3 4 5 6 15 16 11
|
selvval2lem3 |
|
24 |
19
|
subrgss |
|
25 |
7 19
|
ressbas2 |
|
26 |
23 24 25
|
3syl |
|
27 |
26
|
feq3d |
|
28 |
22 27
|
mpbid |
|
29 |
|
eqid |
|
30 |
1 18 2 29 13
|
mplelf |
|
31 |
28 30
|
fcod |
|
32 |
|
fvexd |
|
33 |
|
ovex |
|
34 |
33
|
rabex |
|
35 |
34
|
a1i |
|
36 |
32 35
|
elmapd |
|
37 |
31 36
|
mpbird |
|
38 |
|
eqid |
|
39 |
|
eqid |
|
40 |
|
eqid |
|
41 |
38 39 29 40 10
|
psrbas |
|
42 |
37 41
|
eleqtrrd |
|
43 |
|
fvexd |
|
44 |
|
crngring |
|
45 |
|
eqid |
|
46 |
18 45
|
ring0cl |
|
47 |
11 44 46
|
3syl |
|
48 |
|
ssidd |
|
49 |
|
fvexd |
|
50 |
1 2 45 13 11
|
mplelsfi |
|
51 |
6
|
a1i |
|
52 |
51
|
fveq1d |
|
53 |
|
eqid |
|
54 |
|
eqid |
|
55 |
11 44
|
syl |
|
56 |
3 53 18 54 15 55
|
mplasclf |
|
57 |
56 47
|
fvco3d |
|
58 |
3 15 11
|
mplsca |
|
59 |
58
|
fveq2d |
|
60 |
59
|
fveq2d |
|
61 |
|
eqid |
|
62 |
3
|
mplassa |
|
63 |
15 11 62
|
syl2anc |
|
64 |
|
assalmod |
|
65 |
63 64
|
syl |
|
66 |
|
assaring |
|
67 |
63 66
|
syl |
|
68 |
54 61 65 67
|
ascl0 |
|
69 |
60 68
|
eqtrd |
|
70 |
69
|
fveq2d |
|
71 |
4 16 63
|
mplsca |
|
72 |
71
|
fveq2d |
|
73 |
72
|
fveq2d |
|
74 |
|
eqid |
|
75 |
3 4 15 16 11
|
selvval2lem1 |
|
76 |
|
assalmod |
|
77 |
75 76
|
syl |
|
78 |
|
assaring |
|
79 |
75 78
|
syl |
|
80 |
5 74 77 79
|
ascl0 |
|
81 |
|
subrgsubg |
|
82 |
|
eqid |
|
83 |
7 82
|
subg0 |
|
84 |
23 81 83
|
3syl |
|
85 |
80 84
|
eqtrd |
|
86 |
70 73 85
|
3eqtrd |
|
87 |
52 57 86
|
3eqtrd |
|
88 |
43 47 30 22 48 35 49 50 87
|
fsuppcor |
|
89 |
|
eqid |
|
90 |
8 38 40 89 9
|
mplelbas |
|
91 |
42 88 90
|
sylanbrc |
|