Step |
Hyp |
Ref |
Expression |
1 |
|
hdmapoc.h |
|
2 |
|
hdmapoc.u |
|
3 |
|
hdmapoc.v |
|
4 |
|
hdmapoc.r |
|
5 |
|
hdmapoc.z |
|
6 |
|
hdmapoc.o |
|
7 |
|
hdmapoc.s |
|
8 |
|
hdmapoc.k |
|
9 |
|
hdmapoc.x |
|
10 |
1 2 3 6
|
dochssv |
|
11 |
8 9 10
|
syl2anc |
|
12 |
11
|
sseld |
|
13 |
12
|
pm4.71rd |
|
14 |
|
eqid |
|
15 |
|
eqid |
|
16 |
1 2 8
|
dvhlmod |
|
17 |
16
|
adantr |
|
18 |
1 2 3 14 6
|
dochlss |
|
19 |
8 9 18
|
syl2anc |
|
20 |
19
|
adantr |
|
21 |
|
simpr |
|
22 |
3 14 15 17 20 21
|
lspsnel5 |
|
23 |
|
eqid |
|
24 |
8
|
adantr |
|
25 |
1 2 3 15 23
|
dihlsprn |
|
26 |
24 21 25
|
syl2anc |
|
27 |
1 23 2 3 6
|
dochcl |
|
28 |
8 9 27
|
syl2anc |
|
29 |
28
|
adantr |
|
30 |
1 23 6 24 26 29
|
dochord |
|
31 |
21
|
snssd |
|
32 |
1 2 6 3 15 24 31
|
dochocsp |
|
33 |
32
|
sseq2d |
|
34 |
9
|
adantr |
|
35 |
1 23 2 3 6
|
dochcl |
|
36 |
24 31 35
|
syl2anc |
|
37 |
1 2 3 23 6 24 34 36
|
dochsscl |
|
38 |
33 37
|
bitr4d |
|
39 |
22 30 38
|
3bitrd |
|
40 |
|
dfss3 |
|
41 |
39 40
|
bitrdi |
|
42 |
8
|
ad2antrr |
|
43 |
34
|
sselda |
|
44 |
|
simplr |
|
45 |
1 6 2 3 4 5 7 42 43 44
|
hdmapellkr |
|
46 |
1 6 2 3 42 44 43
|
dochsncom |
|
47 |
45 46
|
bitrd |
|
48 |
47
|
ralbidva |
|
49 |
41 48
|
bitr4d |
|
50 |
49
|
pm5.32da |
|
51 |
13 50
|
bitrd |
|
52 |
51
|
abbi2dv |
|
53 |
|
df-rab |
|
54 |
52 53
|
eqtr4di |
|