Step |
Hyp |
Ref |
Expression |
1 |
|
hdmap1l6.h |
|
2 |
|
hdmap1l6.u |
|
3 |
|
hdmap1l6.v |
|
4 |
|
hdmap1l6.p |
|
5 |
|
hdmap1l6.s |
|
6 |
|
hdmap1l6c.o |
|
7 |
|
hdmap1l6.n |
|
8 |
|
hdmap1l6.c |
|
9 |
|
hdmap1l6.d |
|
10 |
|
hdmap1l6.a |
|
11 |
|
hdmap1l6.r |
|
12 |
|
hdmap1l6.q |
|
13 |
|
hdmap1l6.l |
|
14 |
|
hdmap1l6.m |
|
15 |
|
hdmap1l6.i |
|
16 |
|
hdmap1l6.k |
|
17 |
|
hdmap1l6.f |
|
18 |
|
hdmap1l6cl.x |
|
19 |
|
hdmap1l6.mn |
|
20 |
|
hdmap1l6e.y |
|
21 |
|
hdmap1l6e.z |
|
22 |
|
hdmap1l6e.xn |
|
23 |
|
hdmap1l6.yz |
|
24 |
|
hdmap1l6.fg |
|
25 |
|
hdmap1l6.fe |
|
26 |
|
eqid |
|
27 |
1 2 16
|
dvhlmod |
|
28 |
18
|
eldifad |
|
29 |
20
|
eldifad |
|
30 |
3 5
|
lmodvsubcl |
|
31 |
27 28 29 30
|
syl3anc |
|
32 |
3 26 7
|
lspsncl |
|
33 |
27 31 32
|
syl2anc |
|
34 |
21
|
eldifad |
|
35 |
3 26 7
|
lspsncl |
|
36 |
27 34 35
|
syl2anc |
|
37 |
|
eqid |
|
38 |
26 37
|
lsmcl |
|
39 |
27 33 36 38
|
syl3anc |
|
40 |
3 5
|
lmodvsubcl |
|
41 |
27 28 34 40
|
syl3anc |
|
42 |
3 26 7
|
lspsncl |
|
43 |
27 41 42
|
syl2anc |
|
44 |
3 26 7
|
lspsncl |
|
45 |
27 29 44
|
syl2anc |
|
46 |
26 37
|
lsmcl |
|
47 |
27 43 45 46
|
syl3anc |
|
48 |
1 14 2 26 16 39 47
|
mapdin |
|
49 |
|
eqid |
|
50 |
1 14 2 26 37 8 49 16 33 36
|
mapdlsm |
|
51 |
1 14 2 26 37 8 49 16 43 45
|
mapdlsm |
|
52 |
50 51
|
ineq12d |
|
53 |
1 2 16
|
dvhlvec |
|
54 |
3 6 7 53 29 21 28 23 22
|
lspindp2 |
|
55 |
54
|
simpld |
|
56 |
1 2 3 6 7 8 9 13 14 15 16 17 19 55 18 29
|
hdmap1cl |
|
57 |
24 56
|
eqeltrrd |
|
58 |
1 2 3 5 6 7 8 9 11 13 14 15 16 18 17 20 57 55 19
|
hdmap1eq |
|
59 |
24 58
|
mpbid |
|
60 |
59
|
simprd |
|
61 |
3 6 7 53 20 34 28 23 22
|
lspindp1 |
|
62 |
61
|
simpld |
|
63 |
1 2 3 6 7 8 9 13 14 15 16 17 19 62 18 34
|
hdmap1cl |
|
64 |
25 63
|
eqeltrrd |
|
65 |
1 2 3 5 6 7 8 9 11 13 14 15 16 18 17 21 64 62 19
|
hdmap1eq |
|
66 |
25 65
|
mpbid |
|
67 |
66
|
simpld |
|
68 |
60 67
|
oveq12d |
|
69 |
66
|
simprd |
|
70 |
59
|
simpld |
|
71 |
69 70
|
oveq12d |
|
72 |
68 71
|
ineq12d |
|
73 |
52 72
|
eqtrd |
|
74 |
48 73
|
eqtrd |
|
75 |
3 5 6 37 7 53 28 22 23 20 21 4
|
baerlem5a |
|
76 |
75
|
fveq2d |
|
77 |
1 8 16
|
lcdlvec |
|
78 |
1 14 2 3 7 8 9 13 16 17 19 28 29 57 70 34 64 67 22
|
mapdindp |
|
79 |
1 14 2 3 7 8 9 13 16 57 70 29 34 64 67 23
|
mapdncol |
|
80 |
1 14 2 3 7 8 9 13 16 57 70 6 12 20
|
mapdn0 |
|
81 |
1 14 2 3 7 8 9 13 16 64 67 6 12 21
|
mapdn0 |
|
82 |
9 11 12 49 13 77 17 78 79 80 81 10
|
baerlem5a |
|
83 |
74 76 82
|
3eqtr4d |
|