Step |
Hyp |
Ref |
Expression |
1 |
|
hdmap14lem8.h |
|
2 |
|
hdmap14lem8.u |
|
3 |
|
hdmap14lem8.v |
|
4 |
|
hdmap14lem8.q |
|
5 |
|
hdmap14lem8.t |
|
6 |
|
hdmap14lem8.o |
|
7 |
|
hdmap14lem8.n |
|
8 |
|
hdmap14lem8.r |
|
9 |
|
hdmap14lem8.b |
|
10 |
|
hdmap14lem8.c |
|
11 |
|
hdmap14lem8.d |
|
12 |
|
hdmap14lem8.e |
|
13 |
|
hdmap14lem8.p |
|
14 |
|
hdmap14lem8.a |
|
15 |
|
hdmap14lem8.s |
|
16 |
|
hdmap14lem8.k |
|
17 |
|
hdmap14lem8.x |
|
18 |
|
hdmap14lem8.y |
|
19 |
|
hdmap14lem8.f |
|
20 |
|
hdmap14lem8.g |
|
21 |
|
hdmap14lem8.i |
|
22 |
|
hdmap14lem8.xx |
|
23 |
|
hdmap14lem8.yy |
|
24 |
|
hdmap14lem8.ne |
|
25 |
|
hdmap14lem8.j |
|
26 |
|
hdmap14lem8.xy |
|
27 |
1 10 16
|
lcdlmod |
|
28 |
|
eqid |
|
29 |
17
|
eldifad |
|
30 |
1 2 3 10 28 15 16 29
|
hdmapcl |
|
31 |
18
|
eldifad |
|
32 |
1 2 3 10 28 15 16 31
|
hdmapcl |
|
33 |
28 11 13 12 14
|
lmodvsdi |
|
34 |
27 25 30 32 33
|
syl13anc |
|
35 |
1 2 3 4 10 11 15 16 29 31
|
hdmapadd |
|
36 |
35
|
oveq2d |
|
37 |
1 2 16
|
dvhlmod |
|
38 |
3 4 8 5 9
|
lmodvsdi |
|
39 |
37 19 29 31 38
|
syl13anc |
|
40 |
39
|
fveq2d |
|
41 |
3 8 5 9
|
lmodvscl |
|
42 |
37 19 29 41
|
syl3anc |
|
43 |
3 8 5 9
|
lmodvscl |
|
44 |
37 19 31 43
|
syl3anc |
|
45 |
1 2 3 4 10 11 15 16 42 44
|
hdmapadd |
|
46 |
22 23
|
oveq12d |
|
47 |
40 45 46
|
3eqtrd |
|
48 |
26 47
|
eqtr3d |
|
49 |
36 48
|
eqtr3d |
|
50 |
34 49
|
eqtr3d |
|