Step |
Hyp |
Ref |
Expression |
1 |
|
dochshpsat.h |
|
2 |
|
dochshpsat.o |
|
3 |
|
dochshpsat.u |
|
4 |
|
dochshpsat.a |
|
5 |
|
dochshpsat.y |
|
6 |
|
dochshpsat.k |
|
7 |
|
dochshpsat.x |
|
8 |
|
simpr |
|
9 |
7
|
adantr |
|
10 |
8 9
|
eqeltrd |
|
11 |
|
eqid |
|
12 |
1 3 6
|
dvhlmod |
|
13 |
11 5 12 7
|
lshplss |
|
14 |
|
eqid |
|
15 |
14 11
|
lssss |
|
16 |
13 15
|
syl |
|
17 |
1 3 14 11 2
|
dochlss |
|
18 |
6 16 17
|
syl2anc |
|
19 |
1 2 3 11 4 5 6 18
|
dochsatshpb |
|
20 |
19
|
adantr |
|
21 |
10 20
|
mpbird |
|
22 |
|
eqid |
|
23 |
12
|
adantr |
|
24 |
|
simpr |
|
25 |
22 4 23 24
|
lsatn0 |
|
26 |
25
|
neneqd |
|
27 |
6
|
adantr |
|
28 |
1 3 2 14 22
|
doch0 |
|
29 |
27 28
|
syl |
|
30 |
29
|
eqeq2d |
|
31 |
|
eqid |
|
32 |
1 31 3 14 2
|
dochcl |
|
33 |
6 16 32
|
syl2anc |
|
34 |
1 31 3 22
|
dih0rn |
|
35 |
6 34
|
syl |
|
36 |
1 31 2 6 33 35
|
doch11 |
|
37 |
36
|
adantr |
|
38 |
30 37
|
bitr3d |
|
39 |
26 38
|
mtbird |
|
40 |
1 2 3 14 5 6 7
|
dochshpncl |
|
41 |
40
|
necon1bbid |
|
42 |
41
|
adantr |
|
43 |
39 42
|
mpbid |
|
44 |
21 43
|
impbida |
|