Step |
Hyp |
Ref |
Expression |
1 |
|
axtrkge.p |
|
2 |
|
axtrkge.d |
|
3 |
|
axtrkge.i |
|
4 |
|
axtgupdim2.x |
|
5 |
|
axtgupdim2.y |
|
6 |
|
axtgupdim2.z |
|
7 |
|
axtgupdim2.u |
|
8 |
|
axtgupdim2.v |
|
9 |
|
axtgupdim2.0 |
|
10 |
|
axtgupdim2.1 |
|
11 |
|
axtgupdim2.2 |
|
12 |
|
axtgupdim2.3 |
|
13 |
|
axtgupdim2.w |
|
14 |
|
axtgupdim2.g |
|
15 |
1 2 3
|
istrkg3ld |
|
16 |
13 15
|
syl |
|
17 |
14 16
|
mtbid |
|
18 |
|
ralnex2 |
|
19 |
17 18
|
sylibr |
|
20 |
|
neeq1 |
|
21 |
|
oveq1 |
|
22 |
21
|
eqeq1d |
|
23 |
|
oveq1 |
|
24 |
23
|
eqeq1d |
|
25 |
|
oveq1 |
|
26 |
25
|
eqeq1d |
|
27 |
22 24 26
|
3anbi123d |
|
28 |
27
|
anbi1d |
|
29 |
28
|
rexbidv |
|
30 |
29
|
2rexbidv |
|
31 |
20 30
|
anbi12d |
|
32 |
31
|
notbid |
|
33 |
|
neeq2 |
|
34 |
|
oveq1 |
|
35 |
34
|
eqeq2d |
|
36 |
|
oveq1 |
|
37 |
36
|
eqeq2d |
|
38 |
|
oveq1 |
|
39 |
38
|
eqeq2d |
|
40 |
35 37 39
|
3anbi123d |
|
41 |
40
|
anbi1d |
|
42 |
41
|
rexbidv |
|
43 |
42
|
2rexbidv |
|
44 |
33 43
|
anbi12d |
|
45 |
44
|
notbid |
|
46 |
32 45
|
rspc2v |
|
47 |
7 8 46
|
syl2anc |
|
48 |
19 47
|
mpd |
|
49 |
|
imnan |
|
50 |
48 49
|
sylibr |
|
51 |
9 50
|
mpd |
|
52 |
|
ralnex3 |
|
53 |
51 52
|
sylibr |
|
54 |
|
oveq2 |
|
55 |
|
oveq2 |
|
56 |
54 55
|
eqeq12d |
|
57 |
56
|
3anbi1d |
|
58 |
|
oveq1 |
|
59 |
58
|
eleq2d |
|
60 |
|
eleq1 |
|
61 |
|
oveq1 |
|
62 |
61
|
eleq2d |
|
63 |
59 60 62
|
3orbi123d |
|
64 |
63
|
notbid |
|
65 |
57 64
|
anbi12d |
|
66 |
65
|
notbid |
|
67 |
|
oveq2 |
|
68 |
|
oveq2 |
|
69 |
67 68
|
eqeq12d |
|
70 |
69
|
3anbi2d |
|
71 |
|
oveq2 |
|
72 |
71
|
eleq2d |
|
73 |
|
oveq2 |
|
74 |
73
|
eleq2d |
|
75 |
|
eleq1 |
|
76 |
72 74 75
|
3orbi123d |
|
77 |
76
|
notbid |
|
78 |
70 77
|
anbi12d |
|
79 |
78
|
notbid |
|
80 |
|
oveq2 |
|
81 |
|
oveq2 |
|
82 |
80 81
|
eqeq12d |
|
83 |
82
|
3anbi3d |
|
84 |
|
eleq1 |
|
85 |
|
oveq1 |
|
86 |
85
|
eleq2d |
|
87 |
|
oveq2 |
|
88 |
87
|
eleq2d |
|
89 |
84 86 88
|
3orbi123d |
|
90 |
89
|
notbid |
|
91 |
83 90
|
anbi12d |
|
92 |
91
|
notbid |
|
93 |
66 79 92
|
rspc3v |
|
94 |
4 5 6 93
|
syl3anc |
|
95 |
53 94
|
mpd |
|
96 |
|
imnan |
|
97 |
95 96
|
sylibr |
|
98 |
10 11 12 97
|
mp3and |
|
99 |
98
|
notnotrd |
|