Step |
Hyp |
Ref |
Expression |
1 |
|
cdleme1.l |
|
2 |
|
cdleme1.j |
|
3 |
|
cdleme1.m |
|
4 |
|
cdleme1.a |
|
5 |
|
cdleme1.h |
|
6 |
|
cdleme1.u |
|
7 |
|
cdleme1.f |
|
8 |
|
cdleme3.3 |
|
9 |
1 2 3 4 5 6 7 8
|
cdleme3d |
|
10 |
|
simp1l |
|
11 |
|
simp23l |
|
12 |
|
simp1 |
|
13 |
|
simp21 |
|
14 |
|
simp22l |
|
15 |
|
simp3l |
|
16 |
1 2 3 4 5 6
|
lhpat2 |
|
17 |
12 13 14 15 16
|
syl112anc |
|
18 |
|
eqid |
|
19 |
18 2 4
|
hlatjcl |
|
20 |
10 11 17 19
|
syl3anc |
|
21 |
|
simp3r |
|
22 |
11 21
|
jca |
|
23 |
1 2 3 4 5 6 7 8
|
cdleme3e |
|
24 |
12 13 14 22 23
|
syl13anc |
|
25 |
18 2 4
|
hlatjcl |
|
26 |
10 14 24 25
|
syl3anc |
|
27 |
10
|
hllatd |
|
28 |
|
simp21l |
|
29 |
18 2 4
|
hlatjcl |
|
30 |
10 28 14 29
|
syl3anc |
|
31 |
|
simp1r |
|
32 |
18 5
|
lhpbase |
|
33 |
31 32
|
syl |
|
34 |
18 1 3
|
latmle2 |
|
35 |
27 30 33 34
|
syl3anc |
|
36 |
6 35
|
eqbrtrid |
|
37 |
|
simp23r |
|
38 |
|
nbrne2 |
|
39 |
36 37 38
|
syl2anc |
|
40 |
39
|
necomd |
|
41 |
|
eqid |
|
42 |
|
eqid |
|
43 |
2 4 41 42
|
linepmap |
|
44 |
27 11 17 40 43
|
syl31anc |
|
45 |
18 2 4
|
hlatjcl |
|
46 |
10 28 11 45
|
syl3anc |
|
47 |
18 1 3
|
latmle2 |
|
48 |
27 46 33 47
|
syl3anc |
|
49 |
8 48
|
eqbrtrid |
|
50 |
|
simp22r |
|
51 |
|
nbrne2 |
|
52 |
49 50 51
|
syl2anc |
|
53 |
52
|
necomd |
|
54 |
2 4 41 42
|
linepmap |
|
55 |
27 14 24 53 54
|
syl31anc |
|
56 |
1 2 4
|
hlatlej1 |
|
57 |
10 11 17 56
|
syl3anc |
|
58 |
|
nbrne2 |
|
59 |
49 37 58
|
syl2anc |
|
60 |
59
|
necomd |
|
61 |
1 2 4
|
hlatexch2 |
|
62 |
10 11 14 24 60 61
|
syl131anc |
|
63 |
8
|
oveq2i |
|
64 |
1 2 4
|
hlatlej2 |
|
65 |
10 28 11 64
|
syl3anc |
|
66 |
18 1 3
|
latmle1 |
|
67 |
27 46 33 66
|
syl3anc |
|
68 |
18 4
|
atbase |
|
69 |
11 68
|
syl |
|
70 |
18 3
|
latmcl |
|
71 |
27 46 33 70
|
syl3anc |
|
72 |
18 1 2
|
latjle12 |
|
73 |
27 69 71 46 72
|
syl13anc |
|
74 |
65 67 73
|
mpbi2and |
|
75 |
63 74
|
eqbrtrid |
|
76 |
18 4
|
atbase |
|
77 |
14 76
|
syl |
|
78 |
18 2 4
|
hlatjcl |
|
79 |
10 11 24 78
|
syl3anc |
|
80 |
18 1
|
lattr |
|
81 |
27 77 79 46 80
|
syl13anc |
|
82 |
75 81
|
mpan2d |
|
83 |
15
|
necomd |
|
84 |
1 2 4
|
hlatexch1 |
|
85 |
10 14 11 28 83 84
|
syl131anc |
|
86 |
62 82 85
|
3syld |
|
87 |
21 86
|
mtod |
|
88 |
|
nbrne1 |
|
89 |
57 87 88
|
syl2anc |
|
90 |
14 15
|
jca |
|
91 |
|
simp23 |
|
92 |
|
eqid |
|
93 |
1 2 3 4 5 6 7 92
|
cdleme3c |
|
94 |
12 13 90 91 93
|
syl13anc |
|
95 |
9 94
|
eqnetrrid |
|
96 |
18 3 92 4 41 42
|
2lnat |
|
97 |
10 20 26 44 55 89 95 96
|
syl322anc |
|
98 |
9 97
|
eqeltrid |
|