Step |
Hyp |
Ref |
Expression |
1 |
|
diblsmopel.b |
|
2 |
|
diblsmopel.l |
|
3 |
|
diblsmopel.h |
|
4 |
|
diblsmopel.t |
|
5 |
|
diblsmopel.o |
|
6 |
|
diblsmopel.v |
|
7 |
|
diblsmopel.u |
|
8 |
|
diblsmopel.q |
|
9 |
|
diblsmopel.p |
|
10 |
|
diblsmopel.j |
|
11 |
|
diblsmopel.i |
|
12 |
|
diblsmopel.k |
|
13 |
|
diblsmopel.x |
|
14 |
|
diblsmopel.y |
|
15 |
|
eqid |
|
16 |
1 2 3 7 11 15
|
diblss |
|
17 |
12 13 16
|
syl2anc |
|
18 |
1 2 3 7 11 15
|
diblss |
|
19 |
12 14 18
|
syl2anc |
|
20 |
|
eqid |
|
21 |
3 7 20 15 9
|
dvhopellsm |
|
22 |
12 17 19 21
|
syl3anc |
|
23 |
|
excom |
|
24 |
1 2 3 4 5 10 11
|
dibopelval2 |
|
25 |
12 13 24
|
syl2anc |
|
26 |
1 2 3 4 5 10 11
|
dibopelval2 |
|
27 |
12 14 26
|
syl2anc |
|
28 |
25 27
|
anbi12d |
|
29 |
|
an4 |
|
30 |
|
ancom |
|
31 |
29 30
|
bitri |
|
32 |
28 31
|
syl6bb |
|
33 |
32
|
anbi1d |
|
34 |
|
anass |
|
35 |
|
df-3an |
|
36 |
34 35
|
bitr4i |
|
37 |
33 36
|
syl6bb |
|
38 |
37
|
2exbidv |
|
39 |
4
|
fvexi |
|
40 |
39
|
mptex |
|
41 |
5 40
|
eqeltri |
|
42 |
|
opeq2 |
|
43 |
42
|
oveq1d |
|
44 |
43
|
eqeq2d |
|
45 |
44
|
anbi2d |
|
46 |
|
opeq2 |
|
47 |
46
|
oveq2d |
|
48 |
47
|
eqeq2d |
|
49 |
48
|
anbi2d |
|
50 |
41 41 45 49
|
ceqsex2v |
|
51 |
12
|
adantr |
|
52 |
13
|
adantr |
|
53 |
|
simprl |
|
54 |
1 2 3 4 10
|
diael |
|
55 |
51 52 53 54
|
syl3anc |
|
56 |
|
eqid |
|
57 |
1 3 4 56 5
|
tendo0cl |
|
58 |
51 57
|
syl |
|
59 |
14
|
adantr |
|
60 |
|
simprr |
|
61 |
1 2 3 4 10
|
diael |
|
62 |
51 59 60 61
|
syl3anc |
|
63 |
|
eqid |
|
64 |
|
eqid |
|
65 |
3 4 56 7 63 20 64
|
dvhopvadd |
|
66 |
51 55 58 62 58 65
|
syl122anc |
|
67 |
66
|
eqeq2d |
|
68 |
|
vex |
|
69 |
|
vex |
|
70 |
68 69
|
coex |
|
71 |
|
ovex |
|
72 |
70 71
|
opth2 |
|
73 |
|
eqid |
|
74 |
3 4 6 73
|
dvavadd |
|
75 |
51 55 62 74
|
syl12anc |
|
76 |
75
|
eqeq2d |
|
77 |
76
|
bicomd |
|
78 |
|
eqid |
|
79 |
3 4 56 7 63 78 64
|
dvhfplusr |
|
80 |
51 79
|
syl |
|
81 |
80
|
oveqd |
|
82 |
1 3 4 56 5 78
|
tendo0pl |
|
83 |
51 58 82
|
syl2anc |
|
84 |
81 83
|
eqtrd |
|
85 |
84
|
eqeq2d |
|
86 |
77 85
|
anbi12d |
|
87 |
72 86
|
syl5bb |
|
88 |
67 87
|
bitrd |
|
89 |
88
|
pm5.32da |
|
90 |
50 89
|
syl5bb |
|
91 |
38 90
|
bitrd |
|
92 |
91
|
exbidv |
|
93 |
23 92
|
syl5bb |
|
94 |
93
|
exbidv |
|
95 |
|
anass |
|
96 |
95
|
bicomi |
|
97 |
96
|
2exbii |
|
98 |
|
19.41vv |
|
99 |
97 98
|
bitri |
|
100 |
3 6
|
dvalvec |
|
101 |
|
lveclmod |
|
102 |
|
eqid |
|
103 |
102
|
lsssssubg |
|
104 |
12 100 101 103
|
4syl |
|
105 |
1 2 3 6 10 102
|
dialss |
|
106 |
12 13 105
|
syl2anc |
|
107 |
104 106
|
sseldd |
|
108 |
1 2 3 6 10 102
|
dialss |
|
109 |
12 14 108
|
syl2anc |
|
110 |
104 109
|
sseldd |
|
111 |
73 8
|
lsmelval |
|
112 |
107 110 111
|
syl2anc |
|
113 |
|
r2ex |
|
114 |
112 113
|
syl6bb |
|
115 |
114
|
anbi1d |
|
116 |
115
|
bicomd |
|
117 |
99 116
|
syl5bb |
|
118 |
22 94 117
|
3bitrd |
|