Step |
Hyp |
Ref |
Expression |
1 |
|
trljco.j |
|
2 |
|
trljco.h |
|
3 |
|
trljco.t |
|
4 |
|
trljco.r |
|
5 |
|
coeq1 |
|
6 |
|
eqid |
|
7 |
6 2 3
|
ltrn1o |
|
8 |
7
|
3adant2 |
|
9 |
|
f1of |
|
10 |
|
fcoi2 |
|
11 |
8 9 10
|
3syl |
|
12 |
5 11
|
sylan9eqr |
|
13 |
12
|
fveq2d |
|
14 |
13
|
oveq2d |
|
15 |
|
simp1l |
|
16 |
15
|
hllatd |
|
17 |
6 2 3 4
|
trlcl |
|
18 |
17
|
3adant3 |
|
19 |
6 1
|
latjidm |
|
20 |
16 18 19
|
syl2anc |
|
21 |
|
hlol |
|
22 |
15 21
|
syl |
|
23 |
|
eqid |
|
24 |
6 1 23
|
olj01 |
|
25 |
22 18 24
|
syl2anc |
|
26 |
20 25
|
eqtr4d |
|
27 |
26
|
adantr |
|
28 |
|
coeq2 |
|
29 |
6 2 3
|
ltrn1o |
|
30 |
29
|
3adant3 |
|
31 |
|
f1of |
|
32 |
|
fcoi1 |
|
33 |
30 31 32
|
3syl |
|
34 |
28 33
|
sylan9eqr |
|
35 |
34
|
fveq2d |
|
36 |
35
|
oveq2d |
|
37 |
6 23 2 3 4
|
trlid0b |
|
38 |
37
|
3adant2 |
|
39 |
38
|
biimpa |
|
40 |
39
|
oveq2d |
|
41 |
27 36 40
|
3eqtr4d |
|
42 |
|
eqid |
|
43 |
16
|
adantr |
|
44 |
|
simp1 |
|
45 |
2 3
|
ltrnco |
|
46 |
6 2 3 4
|
trlcl |
|
47 |
44 45 46
|
syl2anc |
|
48 |
6 1
|
latjcl |
|
49 |
16 18 47 48
|
syl3anc |
|
50 |
49
|
adantr |
|
51 |
6 2 3 4
|
trlcl |
|
52 |
51
|
3adant2 |
|
53 |
6 1
|
latjcl |
|
54 |
16 18 52 53
|
syl3anc |
|
55 |
54
|
adantr |
|
56 |
6 42 1
|
latlej1 |
|
57 |
16 18 52 56
|
syl3anc |
|
58 |
42 1 2 3 4
|
trlco |
|
59 |
6 42 1
|
latjle12 |
|
60 |
16 18 47 54 59
|
syl13anc |
|
61 |
57 58 60
|
mpbi2and |
|
62 |
61
|
adantr |
|
63 |
|
simpr |
|
64 |
63
|
oveq2d |
|
65 |
6 42 1
|
latlej1 |
|
66 |
16 18 47 65
|
syl3anc |
|
67 |
20 66
|
eqbrtrd |
|
68 |
67
|
adantr |
|
69 |
64 68
|
eqbrtrrd |
|
70 |
6 42 43 50 55 62 69
|
latasymd |
|
71 |
61
|
adantr |
|
72 |
|
simpl1l |
|
73 |
|
simpl1 |
|
74 |
|
simpl2 |
|
75 |
|
simpr1 |
|
76 |
|
eqid |
|
77 |
6 76 2 3 4
|
trlnidat |
|
78 |
73 74 75 77
|
syl3anc |
|
79 |
|
simpl3 |
|
80 |
74 79
|
jca |
|
81 |
|
simpr3 |
|
82 |
76 2 3 4
|
trlcoat |
|
83 |
73 80 81 82
|
syl3anc |
|
84 |
|
simpr2 |
|
85 |
6 2 3 4
|
trlcone |
|
86 |
73 80 81 84 85
|
syl112anc |
|
87 |
6 76 2 3 4
|
trlnidat |
|
88 |
73 79 84 87
|
syl3anc |
|
89 |
42 1 76
|
ps-1 |
|
90 |
72 78 83 86 78 88 89
|
syl132anc |
|
91 |
71 90
|
mpbid |
|
92 |
14 41 70 91
|
pm2.61da3ne |
|