Step |
Hyp |
Ref |
Expression |
1 |
|
cdleme22.l |
|
2 |
|
cdleme22.j |
|
3 |
|
cdleme22.m |
|
4 |
|
cdleme22.a |
|
5 |
|
cdleme22.h |
|
6 |
|
cdleme22eALT.u |
|
7 |
|
cdleme22eALT.f |
|
8 |
|
cdleme22eALT.g |
|
9 |
|
cdleme22eALT.n |
|
10 |
|
cdleme22eALT.o |
|
11 |
|
simp11 |
|
12 |
11
|
hllatd |
|
13 |
|
simp21l |
|
14 |
|
simp22l |
|
15 |
|
eqid |
|
16 |
15 2 4
|
hlatjcl |
|
17 |
11 13 14 16
|
syl3anc |
|
18 |
|
simp12 |
|
19 |
|
simp3ll |
|
20 |
19
|
3ad2ant3 |
|
21 |
1 2 3 4 5 6 7 15
|
cdleme1b |
|
22 |
11 18 13 14 20 21
|
syl23anc |
|
23 |
|
simp31 |
|
24 |
15 2 4
|
hlatjcl |
|
25 |
11 23 20 24
|
syl3anc |
|
26 |
15 5
|
lhpbase |
|
27 |
18 26
|
syl |
|
28 |
15 3
|
latmcl |
|
29 |
12 25 27 28
|
syl3anc |
|
30 |
15 2
|
latjcl |
|
31 |
12 22 29 30
|
syl3anc |
|
32 |
15 1 3
|
latmle1 |
|
33 |
12 17 31 32
|
syl3anc |
|
34 |
9 33
|
eqbrtrid |
|
35 |
|
simp21 |
|
36 |
|
simp13 |
|
37 |
|
simp321 |
|
38 |
|
simp322 |
|
39 |
37 38
|
jca |
|
40 |
|
simp23 |
|
41 |
|
simp323 |
|
42 |
1 2 3 4 5 6
|
cdleme22a |
|
43 |
11 18 35 14 36 39 40 41 42
|
syl233anc |
|
44 |
43
|
oveq2d |
|
45 |
10
|
oveq1i |
|
46 |
|
simp21r |
|
47 |
1 2 3 4 5 6
|
cdleme0a |
|
48 |
11 18 13 46 14 40 47
|
syl222anc |
|
49 |
|
simp3rl |
|
50 |
49
|
3ad2ant3 |
|
51 |
1 2 3 4 5 6 8 15
|
cdleme1b |
|
52 |
11 18 13 14 50 51
|
syl23anc |
|
53 |
15 2 4
|
hlatjcl |
|
54 |
11 36 50 53
|
syl3anc |
|
55 |
15 3
|
latmcl |
|
56 |
12 54 27 55
|
syl3anc |
|
57 |
15 2
|
latjcl |
|
58 |
12 52 56 57
|
syl3anc |
|
59 |
1 2 3 4 5 6
|
cdlemeulpq |
|
60 |
11 18 13 14 59
|
syl22anc |
|
61 |
15 1 2 3 4
|
atmod2i1 |
|
62 |
11 48 17 58 60 61
|
syl131anc |
|
63 |
45 62
|
syl5req |
|
64 |
43
|
oveq2d |
|
65 |
41 64
|
eqtr3d |
|
66 |
15 2 4
|
hlatjcl |
|
67 |
11 36 48 66
|
syl3anc |
|
68 |
15 4
|
atbase |
|
69 |
50 68
|
syl |
|
70 |
15 1 2
|
latlej1 |
|
71 |
12 67 69 70
|
syl3anc |
|
72 |
2 4
|
hlatj32 |
|
73 |
11 36 48 50 72
|
syl13anc |
|
74 |
15 4
|
atbase |
|
75 |
48 74
|
syl |
|
76 |
15 2
|
latj32 |
|
77 |
12 69 75 56 76
|
syl13anc |
|
78 |
15 2
|
latj32 |
|
79 |
12 52 56 75 78
|
syl13anc |
|
80 |
15 2 4
|
hlatjcl |
|
81 |
11 13 50 80
|
syl3anc |
|
82 |
1 2 4
|
hlatlej1 |
|
83 |
11 13 50 82
|
syl3anc |
|
84 |
15 1 2 3 4
|
atmod3i1 |
|
85 |
11 13 81 27 83 84
|
syl131anc |
|
86 |
|
eqid |
|
87 |
1 2 86 4 5
|
lhpjat2 |
|
88 |
11 18 35 87
|
syl21anc |
|
89 |
88
|
oveq2d |
|
90 |
|
hlol |
|
91 |
11 90
|
syl |
|
92 |
15 3 86
|
olm11 |
|
93 |
91 81 92
|
syl2anc |
|
94 |
85 89 93
|
3eqtrd |
|
95 |
94
|
oveq1d |
|
96 |
6
|
oveq2i |
|
97 |
1 2 4
|
hlatlej2 |
|
98 |
11 13 14 97
|
syl3anc |
|
99 |
15 1 2 3 4
|
atmod3i1 |
|
100 |
11 14 17 27 98 99
|
syl131anc |
|
101 |
96 100
|
syl5eq |
|
102 |
|
simp22 |
|
103 |
1 2 86 4 5
|
lhpjat2 |
|
104 |
11 18 102 103
|
syl21anc |
|
105 |
104
|
oveq2d |
|
106 |
15 3 86
|
olm11 |
|
107 |
91 17 106
|
syl2anc |
|
108 |
101 105 107
|
3eqtrd |
|
109 |
108
|
oveq1d |
|
110 |
15 4
|
atbase |
|
111 |
13 110
|
syl |
|
112 |
15 3
|
latmcl |
|
113 |
12 81 27 112
|
syl3anc |
|
114 |
15 4
|
atbase |
|
115 |
14 114
|
syl |
|
116 |
15 2
|
latj32 |
|
117 |
12 111 113 115 116
|
syl13anc |
|
118 |
109 117
|
eqtr4d |
|
119 |
2 4
|
hlatj32 |
|
120 |
11 13 14 50 119
|
syl13anc |
|
121 |
95 118 120
|
3eqtr4rd |
|
122 |
15 2
|
latj32 |
|
123 |
12 115 75 113 122
|
syl13anc |
|
124 |
121 123
|
eqtrd |
|
125 |
124
|
oveq2d |
|
126 |
15 2
|
latjcl |
|
127 |
12 17 69 126
|
syl3anc |
|
128 |
15 1 2
|
latlej2 |
|
129 |
12 17 69 128
|
syl3anc |
|
130 |
15 1 2 3 4
|
atmod1i1 |
|
131 |
11 50 75 127 129 130
|
syl131anc |
|
132 |
8
|
oveq1i |
|
133 |
15 2 4
|
hlatjcl |
|
134 |
11 50 48 133
|
syl3anc |
|
135 |
15 2
|
latjcl |
|
136 |
12 115 113 135
|
syl3anc |
|
137 |
1 2 4
|
hlatlej2 |
|
138 |
11 50 48 137
|
syl3anc |
|
139 |
15 1 2 3 4
|
atmod2i1 |
|
140 |
11 48 134 136 138 139
|
syl131anc |
|
141 |
132 140
|
syl5eq |
|
142 |
125 131 141
|
3eqtr4rd |
|
143 |
15 1 2
|
latlej1 |
|
144 |
12 17 69 143
|
syl3anc |
|
145 |
15 1 12 75 17 127 60 144
|
lattrd |
|
146 |
15 1 3
|
latleeqm1 |
|
147 |
12 75 127 146
|
syl3anc |
|
148 |
145 147
|
mpbid |
|
149 |
148
|
oveq2d |
|
150 |
142 149
|
eqtrd |
|
151 |
150
|
oveq1d |
|
152 |
79 151
|
eqtrd |
|
153 |
1 2 4
|
hlatlej2 |
|
154 |
11 36 50 153
|
syl3anc |
|
155 |
15 1 2 3 4
|
atmod3i1 |
|
156 |
11 50 54 27 154 155
|
syl131anc |
|
157 |
|
simp33r |
|
158 |
1 2 86 4 5
|
lhpjat2 |
|
159 |
11 18 157 158
|
syl21anc |
|
160 |
159
|
oveq2d |
|
161 |
15 3 86
|
olm11 |
|
162 |
91 54 161
|
syl2anc |
|
163 |
156 160 162
|
3eqtrrd |
|
164 |
163
|
oveq1d |
|
165 |
77 152 164
|
3eqtr4rd |
|
166 |
73 165
|
eqtrd |
|
167 |
71 166
|
breqtrd |
|
168 |
65 167
|
eqbrtrd |
|
169 |
15 2
|
latjcl |
|
170 |
12 58 75 169
|
syl3anc |
|
171 |
15 1 3
|
latleeqm1 |
|
172 |
12 17 170 171
|
syl3anc |
|
173 |
168 172
|
mpbid |
|
174 |
44 63 173
|
3eqtr2rd |
|
175 |
34 174
|
breqtrd |
|