Step |
Hyp |
Ref |
Expression |
1 |
|
hdmapglem7.h |
|
2 |
|
hdmapglem7.e |
|
3 |
|
hdmapglem7.o |
|
4 |
|
hdmapglem7.u |
|
5 |
|
hdmapglem7.v |
|
6 |
|
hdmapglem7.p |
|
7 |
|
hdmapglem7.q |
|
8 |
|
hdmapglem7.r |
|
9 |
|
hdmapglem7.b |
|
10 |
|
hdmapglem7.a |
|
11 |
|
hdmapglem7.n |
|
12 |
|
hdmapglem7.k |
|
13 |
|
hdmapglem7.x |
|
14 |
|
eqid |
|
15 |
1 4 12
|
dvhlmod |
|
16 |
|
eqid |
|
17 |
|
eqid |
|
18 |
|
eqid |
|
19 |
1 16 17 4 5 18 2 12
|
dvheveccl |
|
20 |
19
|
eldifad |
|
21 |
5 14 11
|
lspsncl |
|
22 |
15 20 21
|
syl2anc |
|
23 |
20
|
snssd |
|
24 |
1 4 3 5 11 12 23
|
dochocsp |
|
25 |
24
|
fveq2d |
|
26 |
1 4 3 5 11 12 20
|
dochocsn |
|
27 |
25 26
|
eqtrd |
|
28 |
1 3 4 5 14 10 12 22 27
|
dochexmid |
|
29 |
24
|
oveq2d |
|
30 |
28 29
|
eqtr3d |
|
31 |
13 30
|
eleqtrd |
|
32 |
14
|
lsssssubg |
|
33 |
15 32
|
syl |
|
34 |
33 22
|
sseldd |
|
35 |
1 4 5 14 3
|
dochlss |
|
36 |
12 23 35
|
syl2anc |
|
37 |
33 36
|
sseldd |
|
38 |
6 10
|
lsmelval |
|
39 |
34 37 38
|
syl2anc |
|
40 |
31 39
|
mpbid |
|
41 |
|
rexcom |
|
42 |
|
df-rex |
|
43 |
8 9 5 7 11
|
lspsnel |
|
44 |
15 20 43
|
syl2anc |
|
45 |
44
|
anbi1d |
|
46 |
|
r19.41v |
|
47 |
45 46
|
bitr4di |
|
48 |
47
|
exbidv |
|
49 |
|
rexcom4 |
|
50 |
|
ovex |
|
51 |
|
oveq1 |
|
52 |
51
|
eqeq2d |
|
53 |
50 52
|
ceqsexv |
|
54 |
53
|
rexbii |
|
55 |
49 54
|
bitr3i |
|
56 |
48 55
|
syl6bb |
|
57 |
42 56
|
syl5bb |
|
58 |
57
|
rexbidv |
|
59 |
41 58
|
syl5bb |
|
60 |
40 59
|
mpbid |
|