Proof of Theorem cdleme21ct
Step | Hyp | Ref
| Expression |
1 | | simp11 1091 |
. . 3
|
2 | | simp12 1092 |
. . 3
|
3 | | simp13 1093 |
. . 3
|
4 | | simp21l 1178 |
. . 3
|
5 | | simp231 1205 |
. . 3
|
6 | | simp232 1206 |
. . 3
|
7 | | simp3ll 1132 |
. . 3
|
8 | | simp3r 1090 |
. . 3
|
9 | | cdleme21.l |
. . . 4
|
10 | | cdleme21.j |
. . . 4
|
11 | | cdleme21.m |
. . . 4
|
12 | | cdleme21.a |
. . . 4
|
13 | | cdleme21.h |
. . . 4
|
14 | | cdleme21.u |
. . . 4
|
15 | 9, 10, 11, 12, 13, 14 | cdleme21c 35615 |
. . 3
|
16 | 1, 2, 3, 4, 5, 6, 7, 8, 15 | syl332anc 1357 |
. 2
|
17 | | simp233 1207 |
. . . . . . 7
|
18 | | simp11l 1172 |
. . . . . . . . 9
|
19 | | hlcvl 34646 |
. . . . . . . . 9
|
20 | 18, 19 | syl 17 |
. . . . . . . 8
|
21 | | simp11r 1173 |
. . . . . . . . 9
|
22 | | simp12l 1174 |
. . . . . . . . 9
|
23 | | simp12r 1175 |
. . . . . . . . 9
|
24 | 9, 10, 11, 12, 13, 14 | cdleme0a 35498 |
. . . . . . . . 9
|
25 | 18, 21, 22, 23, 3, 5, 24 | syl222anc 1342 |
. . . . . . . 8
|
26 | | simp22l 1180 |
. . . . . . . 8
|
27 | | hllat 34650 |
. . . . . . . . . . . 12
|
28 | 18, 27 | syl 17 |
. . . . . . . . . . 11
|
29 | | eqid 2622 |
. . . . . . . . . . . . 13
|
30 | 29, 10, 12 | hlatjcl 34653 |
. . . . . . . . . . . 12
|
31 | 18, 22, 3, 30 | syl3anc 1326 |
. . . . . . . . . . 11
|
32 | 29, 13 | lhpbase 35284 |
. . . . . . . . . . . 12
|
33 | 21, 32 | syl 17 |
. . . . . . . . . . 11
|
34 | 29, 9, 11 | latmle2 17077 |
. . . . . . . . . . 11
|
35 | 28, 31, 33, 34 | syl3anc 1326 |
. . . . . . . . . 10
|
36 | 14, 35 | syl5eqbr 4688 |
. . . . . . . . 9
|
37 | | simp21r 1179 |
. . . . . . . . 9
|
38 | | nbrne2 4673 |
. . . . . . . . 9
|
39 | 36, 37, 38 | syl2anc 693 |
. . . . . . . 8
|
40 | | simp22r 1181 |
. . . . . . . . 9
|
41 | | nbrne2 4673 |
. . . . . . . . 9
|
42 | 36, 40, 41 | syl2anc 693 |
. . . . . . . 8
|
43 | 9, 10, 12 | cvlatexch3 34625 |
. . . . . . . 8
|
44 | 20, 25, 4, 26, 39, 42, 43 | syl132anc 1344 |
. . . . . . 7
|
45 | 17, 44 | mpd 15 |
. . . . . 6
|
46 | 45 | adantr 481 |
. . . . 5
|
47 | | simp3lr 1133 |
. . . . . . . 8
|
48 | | nbrne2 4673 |
. . . . . . . 8
|
49 | 36, 47, 48 | syl2anc 693 |
. . . . . . 7
|
50 | 9, 10, 12 | cvlatexch3 34625 |
. . . . . . 7
|
51 | 20, 25, 26, 7, 42, 49, 50 | syl132anc 1344 |
. . . . . 6
|
52 | 51 | imp 445 |
. . . . 5
|
53 | 46, 52 | eqtrd 2656 |
. . . 4
|
54 | 53 | ex 450 |
. . 3
|
55 | 9, 10, 12 | hlatlej2 34662 |
. . . . 5
|
56 | 18, 25, 4, 55 | syl3anc 1326 |
. . . 4
|
57 | | breq2 4657 |
. . . 4
|
58 | 56, 57 | syl5ibcom 235 |
. . 3
|
59 | 9, 10, 12 | cdleme21a 35613 |
. . . . 5
|
60 | 18, 22, 3, 4, 6, 7, 8, 59 | syl322anc 1354 |
. . . 4
|
61 | 9, 10, 12 | cvlatexch2 34624 |
. . . 4
|
62 | 20, 4, 25, 7, 60, 61 | syl131anc 1339 |
. . 3
|
63 | 54, 58, 62 | 3syld 60 |
. 2
|
64 | 16, 63 | mtod 189 |
1
|