Step |
Hyp |
Ref |
Expression |
1 |
|
dihmeetlem13.b |
|
2 |
|
dihmeetlem13.l |
|
3 |
|
dihmeetlem13.j |
|
4 |
|
dihmeetlem13.a |
|
5 |
|
dihmeetlem13.h |
|
6 |
|
dihmeetlem13.p |
|
7 |
|
dihmeetlem13.t |
|
8 |
|
dihmeetlem13.e |
|
9 |
|
dihmeetlem13.o |
|
10 |
|
dihmeetlem13.i |
|
11 |
|
dihmeetlem13.u |
|
12 |
|
dihmeetlem13.z |
|
13 |
|
dihmeetlem13.f |
|
14 |
|
dihmeetlem13.g |
|
15 |
5 10
|
dihvalrel |
|
16 |
15
|
3ad2ant1 |
|
17 |
|
relin1 |
|
18 |
16 17
|
syl |
|
19 |
|
elin |
|
20 |
|
simp1 |
|
21 |
|
simp2l |
|
22 |
|
vex |
|
23 |
|
vex |
|
24 |
2 4 5 6 7 8 10 13 22 23
|
dihopelvalcqat |
|
25 |
20 21 24
|
syl2anc |
|
26 |
|
simp2r |
|
27 |
2 4 5 6 7 8 10 14 22 23
|
dihopelvalcqat |
|
28 |
20 26 27
|
syl2anc |
|
29 |
25 28
|
anbi12d |
|
30 |
19 29
|
syl5bb |
|
31 |
|
simprll |
|
32 |
|
simpl3 |
|
33 |
|
fveq1 |
|
34 |
|
simpl1 |
|
35 |
2 4 5 6
|
lhpocnel2 |
|
36 |
34 35
|
syl |
|
37 |
|
simpl2l |
|
38 |
2 4 5 7 13
|
ltrniotaval |
|
39 |
34 36 37 38
|
syl3anc |
|
40 |
|
simpl2r |
|
41 |
2 4 5 7 14
|
ltrniotaval |
|
42 |
34 36 40 41
|
syl3anc |
|
43 |
39 42
|
eqeq12d |
|
44 |
33 43
|
syl5ib |
|
45 |
44
|
necon3d |
|
46 |
32 45
|
mpd |
|
47 |
|
simp2ll |
|
48 |
|
simp2rl |
|
49 |
47 48
|
eqtr3d |
|
50 |
|
simp11 |
|
51 |
|
simp2rr |
|
52 |
|
simp3 |
|
53 |
50 35
|
syl |
|
54 |
|
simp12l |
|
55 |
2 4 5 7 13
|
ltrniotacl |
|
56 |
50 53 54 55
|
syl3anc |
|
57 |
|
simp12r |
|
58 |
2 4 5 7 14
|
ltrniotacl |
|
59 |
50 53 57 58
|
syl3anc |
|
60 |
1 5 7 8 9
|
tendospcanN |
|
61 |
50 51 52 56 59 60
|
syl122anc |
|
62 |
49 61
|
mpbid |
|
63 |
62
|
3expia |
|
64 |
63
|
necon1d |
|
65 |
46 64
|
mpd |
|
66 |
65
|
fveq1d |
|
67 |
34 36 37 55
|
syl3anc |
|
68 |
9 1
|
tendo02 |
|
69 |
67 68
|
syl |
|
70 |
31 66 69
|
3eqtrd |
|
71 |
70 65
|
jca |
|
72 |
71
|
ex |
|
73 |
30 72
|
sylbid |
|
74 |
|
opex |
|
75 |
74
|
elsn |
|
76 |
22 23
|
opth |
|
77 |
75 76
|
bitr2i |
|
78 |
1 5 7 11 12 9
|
dvh0g |
|
79 |
78
|
3ad2ant1 |
|
80 |
79
|
sneqd |
|
81 |
80
|
eleq2d |
|
82 |
77 81
|
bitr4id |
|
83 |
73 82
|
sylibd |
|
84 |
18 83
|
relssdv |
|
85 |
5 11 20
|
dvhlmod |
|
86 |
|
simp2ll |
|
87 |
1 4
|
atbase |
|
88 |
86 87
|
syl |
|
89 |
|
eqid |
|
90 |
1 5 10 11 89
|
dihlss |
|
91 |
20 88 90
|
syl2anc |
|
92 |
|
simp2rl |
|
93 |
1 4
|
atbase |
|
94 |
92 93
|
syl |
|
95 |
1 5 10 11 89
|
dihlss |
|
96 |
20 94 95
|
syl2anc |
|
97 |
89
|
lssincl |
|
98 |
85 91 96 97
|
syl3anc |
|
99 |
12 89
|
lss0ss |
|
100 |
85 98 99
|
syl2anc |
|
101 |
84 100
|
eqssd |
|