Step |
Hyp |
Ref |
Expression |
1 |
|
cdleme19.l |
|
2 |
|
cdleme19.j |
|
3 |
|
cdleme19.m |
|
4 |
|
cdleme19.a |
|
5 |
|
cdleme19.h |
|
6 |
|
cdleme19.u |
|
7 |
|
cdleme19.f |
|
8 |
|
cdleme19.g |
|
9 |
|
cdleme19.d |
|
10 |
|
cdleme19.y |
|
11 |
|
cdleme20.v |
|
12 |
|
simp33 |
|
13 |
|
simp11l |
|
14 |
|
simp22l |
|
15 |
|
simp21l |
|
16 |
|
eqid |
|
17 |
16 2 4
|
hlatjcl |
|
18 |
13 15 14 17
|
syl3anc |
|
19 |
|
simp11r |
|
20 |
16 5
|
lhpbase |
|
21 |
19 20
|
syl |
|
22 |
1 2 4
|
hlatlej2 |
|
23 |
13 15 14 22
|
syl3anc |
|
24 |
16 1 2 3 4
|
atmod2i1 |
|
25 |
13 14 18 21 23 24
|
syl131anc |
|
26 |
|
simp22 |
|
27 |
|
eqid |
|
28 |
1 2 27 4 5
|
lhpjat1 |
|
29 |
13 19 26 28
|
syl21anc |
|
30 |
29
|
oveq2d |
|
31 |
|
hlol |
|
32 |
13 31
|
syl |
|
33 |
16 3 27
|
olm11 |
|
34 |
32 18 33
|
syl2anc |
|
35 |
25 30 34
|
3eqtrd |
|
36 |
35
|
adantr |
|
37 |
|
simp1 |
|
38 |
|
simp23 |
|
39 |
|
simp21 |
|
40 |
|
simp31 |
|
41 |
|
simp321 |
|
42 |
|
simp322 |
|
43 |
41 42
|
jca |
|
44 |
|
simp323 |
|
45 |
1 2 3 4 5 6 7 8 9 10 11
|
cdleme20d |
|
46 |
37 26 38 39 40 43 44 45
|
syl133anc |
|
47 |
13
|
hllatd |
|
48 |
|
simp12l |
|
49 |
|
simp13l |
|
50 |
1 2 3 4 5 6 7 16
|
cdleme1b |
|
51 |
13 19 48 49 14 50
|
syl23anc |
|
52 |
|
simp23l |
|
53 |
1 2 3 4 5 6 8 16
|
cdleme1b |
|
54 |
13 19 48 49 52 53
|
syl23anc |
|
55 |
16 2
|
latjcl |
|
56 |
47 51 54 55
|
syl3anc |
|
57 |
|
simp22r |
|
58 |
1 2 3 4 5 9
|
cdlemeda |
|
59 |
13 19 14 57 15 44 41 58
|
syl223anc |
|
60 |
|
simp23r |
|
61 |
1 2 3 4 5 10
|
cdlemeda |
|
62 |
13 19 52 60 15 44 42 61
|
syl223anc |
|
63 |
16 2 4
|
hlatjcl |
|
64 |
13 59 62 63
|
syl3anc |
|
65 |
16 1 3
|
latmle2 |
|
66 |
47 56 64 65
|
syl3anc |
|
67 |
46 66
|
eqbrtrrd |
|
68 |
67
|
adantr |
|
69 |
2 4
|
hlatjidm |
|
70 |
13 59 69
|
syl2anc |
|
71 |
|
oveq2 |
|
72 |
70 71
|
sylan9req |
|
73 |
68 72
|
breqtrrd |
|
74 |
|
hlatl |
|
75 |
13 74
|
syl |
|
76 |
|
simp31r |
|
77 |
1 2 3 4 5 11
|
lhpat2 |
|
78 |
13 19 14 57 52 76 77
|
syl222anc |
|
79 |
1 4
|
atcmp |
|
80 |
75 78 59 79
|
syl3anc |
|
81 |
80
|
adantr |
|
82 |
73 81
|
mpbid |
|
83 |
82 11
|
eqtr3di |
|
84 |
9 83
|
eqtr3id |
|
85 |
16 2 4
|
hlatjcl |
|
86 |
13 14 52 85
|
syl3anc |
|
87 |
16 1 3
|
latmle1 |
|
88 |
47 86 21 87
|
syl3anc |
|
89 |
88
|
adantr |
|
90 |
84 89
|
eqbrtrd |
|
91 |
1 2 4
|
hlatlej1 |
|
92 |
13 14 52 91
|
syl3anc |
|
93 |
92
|
adantr |
|
94 |
16 3
|
latmcl |
|
95 |
47 18 21 94
|
syl3anc |
|
96 |
16 4
|
atbase |
|
97 |
14 96
|
syl |
|
98 |
16 1 2
|
latjle12 |
|
99 |
47 95 97 86 98
|
syl13anc |
|
100 |
99
|
adantr |
|
101 |
90 93 100
|
mpbi2and |
|
102 |
36 101
|
eqbrtrrd |
|
103 |
16 4
|
atbase |
|
104 |
15 103
|
syl |
|
105 |
16 1 2
|
latjle12 |
|
106 |
47 104 97 86 105
|
syl13anc |
|
107 |
106
|
adantr |
|
108 |
102 107
|
mpbird |
|
109 |
108
|
simpld |
|
110 |
109
|
ex |
|
111 |
110
|
necon3bd |
|
112 |
12 111
|
mpd |
|