Proof of Theorem cdleme18d
Step | Hyp | Ref
| Expression |
1 | | eleq1 2689 |
. . . . . . . 8
|
2 | | breq1 4656 |
. . . . . . . . 9
|
3 | 2 | notbid 308 |
. . . . . . . 8
|
4 | 1, 3 | anbi12d 747 |
. . . . . . 7
|
5 | 4 | 3anbi1d 1403 |
. . . . . 6
|
6 | 5 | 3anbi2d 1404 |
. . . . 5
|
7 | | simp11 1091 |
. . . . . . 7
|
8 | | simp21 1094 |
. . . . . . 7
|
9 | | simp13l 1176 |
. . . . . . 7
|
10 | | simp22 1095 |
. . . . . . 7
|
11 | | simp322 1212 |
. . . . . . 7
|
12 | | cdleme18d.l |
. . . . . . . 8
|
13 | | cdleme18d.j |
. . . . . . . 8
|
14 | | cdleme18d.m |
. . . . . . . 8
|
15 | | cdleme18d.a |
. . . . . . . 8
|
16 | | cdleme18d.h |
. . . . . . . 8
|
17 | | cdleme18d.u |
. . . . . . . 8
|
18 | | cdleme18d.f |
. . . . . . . 8
|
19 | | eqid 2622 |
. . . . . . . 8
|
20 | 12, 13, 14, 15, 16, 17, 18, 19 | cdleme17d1 35576 |
. . . . . . 7
|
21 | 7, 8, 9, 10, 11, 20 | syl131anc 1339 |
. . . . . 6
|
22 | | simp23 1096 |
. . . . . . 7
|
23 | | simp323 1213 |
. . . . . . 7
|
24 | | cdleme18d.d |
. . . . . . . 8
|
25 | | eqid 2622 |
. . . . . . . 8
|
26 | 12, 13, 14, 15, 16, 17, 24, 25 | cdleme17d1 35576 |
. . . . . . 7
|
27 | 7, 8, 9, 22, 23, 26 | syl131anc 1339 |
. . . . . 6
|
28 | 21, 27 | eqtr4d 2659 |
. . . . 5
|
29 | 6, 28 | syl6bi 243 |
. . . 4
|
30 | | cdleme18d.g |
. . . . . 6
|
31 | | cdleme18d.e |
. . . . . 6
|
32 | 30, 31 | eqeq12i 2636 |
. . . . 5
|
33 | | oveq1 6657 |
. . . . . . . . 9
|
34 | 33 | oveq1d 6665 |
. . . . . . . 8
|
35 | 34 | oveq2d 6666 |
. . . . . . 7
|
36 | 35 | oveq2d 6666 |
. . . . . 6
|
37 | | oveq1 6657 |
. . . . . . . . 9
|
38 | 37 | oveq1d 6665 |
. . . . . . . 8
|
39 | 38 | oveq2d 6666 |
. . . . . . 7
|
40 | 39 | oveq2d 6666 |
. . . . . 6
|
41 | 36, 40 | eqeq12d 2637 |
. . . . 5
|
42 | 32, 41 | syl5bb 272 |
. . . 4
|
43 | 29, 42 | sylibrd 249 |
. . 3
|
44 | 43 | com12 32 |
. 2
|
45 | | eleq1 2689 |
. . . . . . . 8
|
46 | | breq1 4656 |
. . . . . . . . 9
|
47 | 46 | notbid 308 |
. . . . . . . 8
|
48 | 45, 47 | anbi12d 747 |
. . . . . . 7
|
49 | 48 | 3anbi1d 1403 |
. . . . . 6
|
50 | | breq1 4656 |
. . . . . . . 8
|
51 | 50 | 3anbi1d 1403 |
. . . . . . 7
|
52 | 51 | 3anbi2d 1404 |
. . . . . 6
|
53 | 49, 52 | 3anbi23d 1402 |
. . . . 5
|
54 | | simp11l 1172 |
. . . . . . 7
|
55 | | simp11r 1173 |
. . . . . . 7
|
56 | | simp12 1092 |
. . . . . . 7
|
57 | | simp21 1094 |
. . . . . . 7
|
58 | | simp22 1095 |
. . . . . . 7
|
59 | | simp31 1097 |
. . . . . . 7
|
60 | | simp322 1212 |
. . . . . . 7
|
61 | | simp33 1099 |
. . . . . . 7
|
62 | | eqid 2622 |
. . . . . . . 8
|
63 | 12, 13, 14, 15, 16, 17, 18, 62 | cdleme18c 35580 |
. . . . . . 7
|
64 | 54, 55, 56, 57, 58, 59, 60, 61, 63 | syl233anc 1355 |
. . . . . 6
|
65 | | simp23 1096 |
. . . . . . 7
|
66 | | simp323 1213 |
. . . . . . 7
|
67 | | eqid 2622 |
. . . . . . . 8
|
68 | 12, 13, 14, 15, 16, 17, 24, 67 | cdleme18c 35580 |
. . . . . . 7
|
69 | 54, 55, 56, 57, 65, 59, 66, 61, 68 | syl233anc 1355 |
. . . . . 6
|
70 | 64, 69 | eqtr4d 2659 |
. . . . 5
|
71 | 53, 70 | syl6bi 243 |
. . . 4
|
72 | | oveq1 6657 |
. . . . . . . . 9
|
73 | 72 | oveq1d 6665 |
. . . . . . . 8
|
74 | 73 | oveq2d 6666 |
. . . . . . 7
|
75 | 74 | oveq2d 6666 |
. . . . . 6
|
76 | | oveq1 6657 |
. . . . . . . . 9
|
77 | 76 | oveq1d 6665 |
. . . . . . . 8
|
78 | 77 | oveq2d 6666 |
. . . . . . 7
|
79 | 78 | oveq2d 6666 |
. . . . . 6
|
80 | 75, 79 | eqeq12d 2637 |
. . . . 5
|
81 | 32, 80 | syl5bb 272 |
. . . 4
|
82 | 71, 81 | sylibrd 249 |
. . 3
|
83 | 82 | com12 32 |
. 2
|
84 | | simp11l 1172 |
. . 3
|
85 | | simp321 1211 |
. . 3
|
86 | | simp33 1099 |
. . 3
|
87 | | simp12l 1174 |
. . 3
|
88 | | simp13l 1176 |
. . 3
|
89 | | simp31 1097 |
. . 3
|
90 | | simp21l 1178 |
. . 3
|
91 | | simp21r 1179 |
. . 3
|
92 | 12, 13, 15 | cdleme0nex 35577 |
. . 3
|
93 | 84, 85, 86, 87, 88, 89, 90, 91, 92 | syl332anc 1357 |
. 2
|
94 | 44, 83, 93 | mpjaod 396 |
1
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