Step |
Hyp |
Ref |
Expression |
1 |
|
hdmaprnlem1.h |
|
2 |
|
hdmaprnlem1.u |
|
3 |
|
hdmaprnlem1.v |
|
4 |
|
hdmaprnlem1.n |
|
5 |
|
hdmaprnlem1.c |
|
6 |
|
hdmaprnlem1.l |
|
7 |
|
hdmaprnlem1.m |
|
8 |
|
hdmaprnlem1.s |
|
9 |
|
hdmaprnlem1.k |
|
10 |
|
hdmaprnlem1.se |
|
11 |
|
hdmaprnlem1.ve |
|
12 |
|
hdmaprnlem1.e |
|
13 |
|
hdmaprnlem1.ue |
|
14 |
|
hdmaprnlem1.un |
|
15 |
|
hdmaprnlem1.d |
|
16 |
|
hdmaprnlem1.q |
|
17 |
|
hdmaprnlem1.o |
|
18 |
|
hdmaprnlem1.a |
|
19 |
|
hdmaprnlem1.t2 |
|
20 |
|
hdmaprnlem1.p |
|
21 |
|
hdmaprnlem1.pt |
|
22 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
|
hdmaprnlem7N |
|
23 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
|
hdmaprnlem8N |
|
24 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
|
hdmaprnlem4N |
|
25 |
23 24
|
eleqtrd |
|
26 |
22 25
|
elind |
|
27 |
1 5 9
|
lcdlvec |
|
28 |
1 5 9
|
lcdlmod |
|
29 |
1 2 3 5 15 8 9 13
|
hdmapcl |
|
30 |
10
|
eldifad |
|
31 |
15 18
|
lmodvacl |
|
32 |
28 29 30 31
|
syl3anc |
|
33 |
|
eqid |
|
34 |
15 33 6
|
lspsncl |
|
35 |
28 30 34
|
syl2anc |
|
36 |
1 7 5 33 9
|
mapdrn2 |
|
37 |
35 36
|
eleqtrrd |
|
38 |
1 7 9 37
|
mapdcnvid2 |
|
39 |
12 38
|
eqtr4d |
|
40 |
|
eqid |
|
41 |
1 2 9
|
dvhlmod |
|
42 |
3 40 4
|
lspsncl |
|
43 |
41 11 42
|
syl2anc |
|
44 |
1 7 2 40 9 37
|
mapdcnvcl |
|
45 |
1 2 40 7 9 43 44
|
mapd11 |
|
46 |
39 45
|
mpbid |
|
47 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
|
hdmaprnlem3N |
|
48 |
46 47
|
eqnetrrd |
|
49 |
15 33 6
|
lspsncl |
|
50 |
28 32 49
|
syl2anc |
|
51 |
50 36
|
eleqtrrd |
|
52 |
1 7 9 37 51
|
mapdcnv11N |
|
53 |
52
|
necon3bid |
|
54 |
48 53
|
mpbid |
|
55 |
54
|
necomd |
|
56 |
15 16 6 27 32 30 55
|
lspdisj2 |
|
57 |
26 56
|
eleqtrd |
|
58 |
|
elsni |
|
59 |
57 58
|
syl |
|
60 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
|
hdmaprnlem4tN |
|
61 |
1 2 3 5 15 8 9 60
|
hdmapcl |
|
62 |
|
eqid |
|
63 |
15 16 62
|
lmodsubeq0 |
|
64 |
28 30 61 63
|
syl3anc |
|
65 |
59 64
|
mpbid |
|