Step |
Hyp |
Ref |
Expression |
1 |
|
mapdpglem.h |
|
2 |
|
mapdpglem.m |
|
3 |
|
mapdpglem.u |
|
4 |
|
mapdpglem.v |
|
5 |
|
mapdpglem.s |
|
6 |
|
mapdpglem.n |
|
7 |
|
mapdpglem.c |
|
8 |
|
mapdpglem.k |
|
9 |
|
mapdpglem.x |
|
10 |
|
mapdpglem.y |
|
11 |
|
mapdpglem1.p |
|
12 |
|
mapdpglem2.j |
|
13 |
|
mapdpglem3.f |
|
14 |
|
mapdpglem3.te |
|
15 |
|
mapdpglem3.a |
|
16 |
|
mapdpglem3.b |
|
17 |
|
mapdpglem3.t |
|
18 |
|
mapdpglem3.r |
|
19 |
|
mapdpglem3.g |
|
20 |
|
mapdpglem3.e |
|
21 |
|
mapdpglem4.q |
|
22 |
|
mapdpglem.ne |
|
23 |
|
mapdpglem4.jt |
|
24 |
|
mapdpglem4.z |
|
25 |
|
mapdpglem4.g4 |
|
26 |
|
mapdpglem4.z4 |
|
27 |
|
mapdpglem4.t4 |
|
28 |
|
mapdpglem4.xn |
|
29 |
|
mapdpglem4.g0 |
|
30 |
1 3 8
|
dvhlmod |
|
31 |
|
eqid |
|
32 |
4 31 5
|
lmodvnpcan |
|
33 |
30 9 10 32
|
syl3anc |
|
34 |
|
eqid |
|
35 |
4 34 6
|
lspsncl |
|
36 |
30 10 35
|
syl2anc |
|
37 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
|
mapdpglem8 |
|
38 |
4 5
|
lmodvsubcl |
|
39 |
30 9 10 38
|
syl3anc |
|
40 |
4 6
|
lspsnid |
|
41 |
30 39 40
|
syl2anc |
|
42 |
37 41
|
sseldd |
|
43 |
4 6
|
lspsnid |
|
44 |
30 10 43
|
syl2anc |
|
45 |
31 34
|
lssvacl |
|
46 |
30 36 42 44 45
|
syl22anc |
|
47 |
33 46
|
eqeltrrd |
|