Step |
Hyp |
Ref |
Expression |
1 |
|
snlindsntor.b |
|
2 |
|
snlindsntor.r |
|
3 |
|
snlindsntor.s |
|
4 |
|
snlindsntor.0 |
|
5 |
|
snlindsntor.z |
|
6 |
|
snlindsntor.t |
|
7 |
|
df-ne |
|
8 |
7
|
ralbii |
|
9 |
|
raldifsni |
|
10 |
8 9
|
bitri |
|
11 |
|
simpl |
|
12 |
11
|
adantr |
|
13 |
12
|
adantr |
|
14 |
2
|
fveq2i |
|
15 |
3 14
|
eqtri |
|
16 |
15
|
oveq1i |
|
17 |
16
|
eleq2i |
|
18 |
17
|
biimpi |
|
19 |
18
|
adantl |
|
20 |
|
snelpwi |
|
21 |
20 1
|
eleq2s |
|
22 |
21
|
ad3antlr |
|
23 |
|
lincval |
|
24 |
13 19 22 23
|
syl3anc |
|
25 |
24
|
eqeq1d |
|
26 |
25
|
anbi2d |
|
27 |
|
lmodgrp |
|
28 |
|
grpmnd |
|
29 |
27 28
|
syl |
|
30 |
29
|
ad3antrrr |
|
31 |
|
simpllr |
|
32 |
|
elmapi |
|
33 |
12
|
adantl |
|
34 |
|
snidg |
|
35 |
34
|
adantl |
|
36 |
35
|
adantr |
|
37 |
|
ffvelrn |
|
38 |
36 37
|
sylan2 |
|
39 |
|
simprlr |
|
40 |
|
eqid |
|
41 |
1 2 40 3
|
lmodvscl |
|
42 |
33 38 39 41
|
syl3anc |
|
43 |
42
|
expcom |
|
44 |
32 43
|
syl5com |
|
45 |
44
|
impcom |
|
46 |
|
fveq2 |
|
47 |
|
id |
|
48 |
46 47
|
oveq12d |
|
49 |
1 48
|
gsumsn |
|
50 |
30 31 45 49
|
syl3anc |
|
51 |
50
|
eqeq1d |
|
52 |
34 37
|
sylan2 |
|
53 |
52
|
expcom |
|
54 |
53
|
adantl |
|
55 |
6
|
oveqi |
|
56 |
55
|
eqeq1i |
|
57 |
|
oveq1 |
|
58 |
57
|
eqeq1d |
|
59 |
|
eqeq1 |
|
60 |
58 59
|
imbi12d |
|
61 |
60
|
rspcva |
|
62 |
56 61
|
syl5bir |
|
63 |
62
|
ex |
|
64 |
32 54 63
|
syl56 |
|
65 |
64
|
com23 |
|
66 |
65
|
imp31 |
|
67 |
51 66
|
sylbid |
|
68 |
67
|
adantld |
|
69 |
26 68
|
sylbid |
|
70 |
69
|
ralrimiva |
|
71 |
70
|
ex |
|
72 |
|
impexp |
|
73 |
32
|
adantl |
|
74 |
|
snfi |
|
75 |
74
|
a1i |
|
76 |
4
|
fvexi |
|
77 |
76
|
a1i |
|
78 |
73 75 77
|
fdmfifsupp |
|
79 |
|
pm2.27 |
|
80 |
78 79
|
syl |
|
81 |
72 80
|
syl5bi |
|
82 |
81
|
ralimdva |
|
83 |
1 2 3 4 5 6
|
snlindsntorlem |
|
84 |
82 83
|
syld |
|
85 |
71 84
|
impbid |
|
86 |
|
fveqeq2 |
|
87 |
86
|
ralsng |
|
88 |
87
|
adantl |
|
89 |
88
|
bicomd |
|
90 |
89
|
imbi2d |
|
91 |
90
|
ralbidv |
|
92 |
|
snelpwi |
|
93 |
92
|
adantl |
|
94 |
93
|
biantrurd |
|
95 |
85 91 94
|
3bitrd |
|
96 |
10 95
|
syl5bb |
|
97 |
|
snex |
|
98 |
1 5 2 3 4
|
islininds |
|
99 |
97 11 98
|
sylancr |
|
100 |
96 99
|
bitr4d |
|