Step |
Hyp |
Ref |
Expression |
1 |
|
tsmssub.b |
|
2 |
|
tsmssub.p |
|
3 |
|
tsmssub.1 |
|
4 |
|
tsmssub.2 |
|
5 |
|
tsmssub.a |
|
6 |
|
tsmssub.f |
|
7 |
|
tsmssub.h |
|
8 |
|
tsmssub.x |
|
9 |
|
tsmssub.y |
|
10 |
|
eqid |
|
11 |
|
tgptmd |
|
12 |
4 11
|
syl |
|
13 |
|
tgpgrp |
|
14 |
|
eqid |
|
15 |
1 14
|
grpinvf |
|
16 |
4 13 15
|
3syl |
|
17 |
|
fco |
|
18 |
16 7 17
|
syl2anc |
|
19 |
1 14 3 4 5 7 9
|
tsmsinv |
|
20 |
1 10 3 12 5 6 18 8 19
|
tsmsadd |
|
21 |
|
tgptps |
|
22 |
4 21
|
syl |
|
23 |
1 3 22 5 6
|
tsmscl |
|
24 |
23 8
|
sseldd |
|
25 |
1 3 22 5 7
|
tsmscl |
|
26 |
25 9
|
sseldd |
|
27 |
1 10 14 2
|
grpsubval |
|
28 |
24 26 27
|
syl2anc |
|
29 |
6
|
ffvelrnda |
|
30 |
7
|
ffvelrnda |
|
31 |
1 10 14 2
|
grpsubval |
|
32 |
29 30 31
|
syl2anc |
|
33 |
32
|
mpteq2dva |
|
34 |
6
|
feqmptd |
|
35 |
7
|
feqmptd |
|
36 |
5 29 30 34 35
|
offval2 |
|
37 |
|
fvexd |
|
38 |
16
|
feqmptd |
|
39 |
|
fveq2 |
|
40 |
30 35 38 39
|
fmptco |
|
41 |
5 29 37 34 40
|
offval2 |
|
42 |
33 36 41
|
3eqtr4d |
|
43 |
42
|
oveq2d |
|
44 |
20 28 43
|
3eltr4d |
|