Step |
Hyp |
Ref |
Expression |
1 |
|
dochsat.h |
|
2 |
|
dochsat.o |
|
3 |
|
dochsat.u |
|
4 |
|
dochsat.s |
|
5 |
|
dochsat.a |
|
6 |
|
dochsat.k |
|
7 |
|
dochsat.q |
|
8 |
1 3 6
|
dvhlmod |
|
9 |
8
|
adantr |
|
10 |
7
|
adantr |
|
11 |
|
eqid |
|
12 |
11 4
|
lss0ss |
|
13 |
9 10 12
|
syl2anc |
|
14 |
|
simpr |
|
15 |
11 5 9 14
|
lsatn0 |
|
16 |
|
simpr |
|
17 |
16
|
fveq2d |
|
18 |
17
|
fveq2d |
|
19 |
1 3 2 11 6
|
dochoc0 |
|
20 |
19
|
adantr |
|
21 |
20
|
adantr |
|
22 |
18 21
|
eqtrd |
|
23 |
22
|
ex |
|
24 |
23
|
necon3d |
|
25 |
15 24
|
mpd |
|
26 |
25
|
necomd |
|
27 |
|
df-pss |
|
28 |
13 26 27
|
sylanbrc |
|
29 |
6
|
adantr |
|
30 |
|
eqid |
|
31 |
30 4
|
lssss |
|
32 |
7 31
|
syl |
|
33 |
32
|
adantr |
|
34 |
1 3 30 2
|
dochocss |
|
35 |
29 33 34
|
syl2anc |
|
36 |
4 5 9 14
|
lsatlssel |
|
37 |
4
|
lsssubg |
|
38 |
9 36 37
|
syl2anc |
|
39 |
|
eqid |
|
40 |
11 39
|
lsm02 |
|
41 |
38 40
|
syl |
|
42 |
35 41
|
sseqtrrd |
|
43 |
1 3 6
|
dvhlvec |
|
44 |
43
|
adantr |
|
45 |
11 4
|
lsssn0 |
|
46 |
9 45
|
syl |
|
47 |
4 39 5 44 46 10 14
|
lsmsatcv |
|
48 |
28 42 47
|
mpd3an23 |
|
49 |
48 41
|
eqtr2d |
|
50 |
49 14
|
eqeltrrd |
|
51 |
6
|
adantr |
|
52 |
|
eqid |
|
53 |
1 3 52 5
|
dih1dimat |
|
54 |
6 53
|
sylan |
|
55 |
1 52 2
|
dochoc |
|
56 |
51 54 55
|
syl2anc |
|
57 |
|
simpr |
|
58 |
56 57
|
eqeltrd |
|
59 |
50 58
|
impbida |
|