Step |
Hyp |
Ref |
Expression |
1 |
|
hdmap12b.h |
|
2 |
|
hdmap12b.u |
|
3 |
|
hdmap12b.v |
|
4 |
|
hdmap12b.m |
|
5 |
|
hdmap12b.c |
|
6 |
|
hdmap12b.i |
|
7 |
|
hdmap12b.s |
|
8 |
|
hdmap12b.k |
|
9 |
|
hdmap12b.x |
|
10 |
1 5 8
|
lcdlmod |
|
11 |
|
eqid |
|
12 |
1 2 3 5 11 7 8 9
|
hdmapcl |
|
13 |
|
eqid |
|
14 |
|
eqid |
|
15 |
11 13 14 6
|
lmodvnegid |
|
16 |
10 12 15
|
syl2anc |
|
17 |
1 2 8
|
dvhlmod |
|
18 |
|
eqid |
|
19 |
|
eqid |
|
20 |
3 18 19 4
|
lmodvnegid |
|
21 |
17 9 20
|
syl2anc |
|
22 |
3 4
|
lmodvnegcl |
|
23 |
17 9 22
|
syl2anc |
|
24 |
3 18
|
lmodvacl |
|
25 |
17 9 23 24
|
syl3anc |
|
26 |
1 2 3 19 5 14 7 8 25
|
hdmapeq0 |
|
27 |
21 26
|
mpbird |
|
28 |
1 2 3 18 5 13 7 8 9 23
|
hdmapadd |
|
29 |
16 27 28
|
3eqtr2rd |
|
30 |
1 2 3 5 11 7 8 23
|
hdmapcl |
|
31 |
11 6
|
lmodvnegcl |
|
32 |
10 12 31
|
syl2anc |
|
33 |
11 13
|
lmodlcan |
|
34 |
10 30 32 12 33
|
syl13anc |
|
35 |
29 34
|
mpbid |
|