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 |
1 5 9
|
lcdlmod |
|
20 |
1 2 3 5 15 8 9 13
|
hdmapcl |
|
21 |
10
|
eldifad |
|
22 |
15 18
|
lmodvacl |
|
23 |
19 20 21 22
|
syl3anc |
|
24 |
|
eqid |
|
25 |
15 24 6
|
lspsncl |
|
26 |
19 21 25
|
syl2anc |
|
27 |
15 6
|
lspsnid |
|
28 |
19 21 27
|
syl2anc |
|
29 |
1 5 9
|
lcdlvec |
|
30 |
|
eqid |
|
31 |
1 2 9
|
dvhlmod |
|
32 |
3 30 4
|
lspsncl |
|
33 |
31 11 32
|
syl2anc |
|
34 |
17 30 31 33 13 14
|
lssneln0 |
|
35 |
1 2 3 17 5 16 15 8 9 34
|
hdmapnzcl |
|
36 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14
|
hdmaprnlem1N |
|
37 |
15 16 6 29 35 21 36
|
lspsnne1 |
|
38 |
15 18 24 19 26 28 20 37
|
lssvancl2 |
|
39 |
15 6 19 23 21 38
|
lspsnne2 |
|
40 |
39
|
necomd |
|
41 |
15 24 6
|
lspsncl |
|
42 |
19 23 41
|
syl2anc |
|
43 |
1 7 5 24 9
|
mapdrn2 |
|
44 |
42 43
|
eleqtrrd |
|
45 |
1 7 9 44
|
mapdcnvid2 |
|
46 |
40 12 45
|
3netr4d |
|
47 |
1 7 2 30 9 44
|
mapdcnvcl |
|
48 |
1 2 30 7 9 33 47
|
mapd11 |
|
49 |
48
|
necon3bid |
|
50 |
46 49
|
mpbid |
|