Step |
Hyp |
Ref |
Expression |
1 |
|
cdlemc3.l |
|
2 |
|
cdlemc3.j |
|
3 |
|
cdlemc3.m |
|
4 |
|
cdlemc3.a |
|
5 |
|
cdlemc3.h |
|
6 |
|
cdlemc3.t |
|
7 |
|
cdlemc3.r |
|
8 |
|
simp1l |
|
9 |
|
simp23l |
|
10 |
|
simp1 |
|
11 |
|
simp21 |
|
12 |
1 4 5 6
|
ltrnat |
|
13 |
10 11 9 12
|
syl3anc |
|
14 |
1 2 4
|
hlatlej2 |
|
15 |
8 9 13 14
|
syl3anc |
|
16 |
|
simp23 |
|
17 |
1 2 4 5 6 7
|
trljat1 |
|
18 |
10 11 16 17
|
syl3anc |
|
19 |
15 18
|
breqtrrd |
|
20 |
|
simp22 |
|
21 |
1 2 3 4 5 6
|
cdlemc2 |
|
22 |
10 11 20 16 21
|
syl112anc |
|
23 |
8
|
hllatd |
|
24 |
|
eqid |
|
25 |
24 4
|
atbase |
|
26 |
9 25
|
syl |
|
27 |
24 5 6
|
ltrncl |
|
28 |
10 11 26 27
|
syl3anc |
|
29 |
24 5 6 7
|
trlcl |
|
30 |
10 11 29
|
syl2anc |
|
31 |
24 2
|
latjcl |
|
32 |
23 26 30 31
|
syl3anc |
|
33 |
|
simp22l |
|
34 |
24 4
|
atbase |
|
35 |
33 34
|
syl |
|
36 |
24 5 6
|
ltrncl |
|
37 |
10 11 35 36
|
syl3anc |
|
38 |
24 2 4
|
hlatjcl |
|
39 |
8 33 9 38
|
syl3anc |
|
40 |
|
simp1r |
|
41 |
24 5
|
lhpbase |
|
42 |
40 41
|
syl |
|
43 |
24 3
|
latmcl |
|
44 |
23 39 42 43
|
syl3anc |
|
45 |
24 2
|
latjcl |
|
46 |
23 37 44 45
|
syl3anc |
|
47 |
24 1 3
|
latlem12 |
|
48 |
23 28 32 46 47
|
syl13anc |
|
49 |
19 22 48
|
mpbi2and |
|
50 |
|
hlatl |
|
51 |
8 50
|
syl |
|
52 |
|
simp3r |
|
53 |
1 4 5 6 7
|
trlat |
|
54 |
10 20 11 52 53
|
syl112anc |
|
55 |
1 5 6 7
|
trlle |
|
56 |
10 11 55
|
syl2anc |
|
57 |
|
simp23r |
|
58 |
|
nbrne2 |
|
59 |
58
|
necomd |
|
60 |
56 57 59
|
syl2anc |
|
61 |
|
eqid |
|
62 |
2 4 61
|
llni2 |
|
63 |
8 9 54 60 62
|
syl31anc |
|
64 |
1 4 5 6
|
ltrnat |
|
65 |
10 11 33 64
|
syl3anc |
|
66 |
1 2 4
|
hlatlej1 |
|
67 |
8 33 65 66
|
syl3anc |
|
68 |
|
simp3l |
|
69 |
|
nbrne2 |
|
70 |
67 68 69
|
syl2anc |
|
71 |
1 2 3 4 5
|
lhpat |
|
72 |
10 20 9 70 71
|
syl112anc |
|
73 |
24 1 3
|
latmle2 |
|
74 |
23 39 42 73
|
syl3anc |
|
75 |
1 4 5 6
|
ltrnel |
|
76 |
75
|
simprd |
|
77 |
10 11 20 76
|
syl3anc |
|
78 |
|
nbrne2 |
|
79 |
78
|
necomd |
|
80 |
74 77 79
|
syl2anc |
|
81 |
2 4 61
|
llni2 |
|
82 |
8 65 72 80 81
|
syl31anc |
|
83 |
1 2 3 4 5 6 7
|
cdlemc4 |
|
84 |
83
|
3adant3r |
|
85 |
24 3
|
latmcl |
|
86 |
23 32 46 85
|
syl3anc |
|
87 |
|
eqid |
|
88 |
24 1 87 4
|
atlen0 |
|
89 |
51 86 13 49 88
|
syl31anc |
|
90 |
3 87 4 61
|
2llnmat |
|
91 |
8 63 82 84 89 90
|
syl32anc |
|
92 |
1 4
|
atcmp |
|
93 |
51 13 91 92
|
syl3anc |
|
94 |
49 93
|
mpbid |
|