Step |
Hyp |
Ref |
Expression |
1 |
|
dalema.ph |
|
2 |
|
dalemc.l |
|
3 |
|
dalemc.j |
|
4 |
|
dalemc.a |
|
5 |
|
dalem1.o |
|
6 |
|
dalem1.y |
|
7 |
1
|
dalemclpjs |
|
8 |
1
|
dalem-clpjq |
|
9 |
8
|
adantr |
|
10 |
1
|
dalemkehl |
|
11 |
1
|
dalempea |
|
12 |
1
|
dalemsea |
|
13 |
2 3 4
|
hlatlej1 |
|
14 |
10 11 12 13
|
syl3anc |
|
15 |
14
|
adantr |
|
16 |
1
|
dalemqea |
|
17 |
1
|
dalemtea |
|
18 |
2 3 4
|
hlatlej1 |
|
19 |
10 16 17 18
|
syl3anc |
|
20 |
19
|
adantr |
|
21 |
|
simpr |
|
22 |
20 21
|
breqtrrd |
|
23 |
1
|
dalemkelat |
|
24 |
1 4
|
dalempeb |
|
25 |
1 4
|
dalemqeb |
|
26 |
|
eqid |
|
27 |
26 3 4
|
hlatjcl |
|
28 |
10 11 12 27
|
syl3anc |
|
29 |
26 2 3
|
latjle12 |
|
30 |
23 24 25 28 29
|
syl13anc |
|
31 |
30
|
adantr |
|
32 |
15 22 31
|
mpbi2and |
|
33 |
1
|
dalemrea |
|
34 |
1
|
dalemyeo |
|
35 |
3 4 5 6
|
lplnri1 |
|
36 |
10 11 16 33 34 35
|
syl131anc |
|
37 |
2 3 4
|
ps-1 |
|
38 |
10 11 16 36 11 12 37
|
syl132anc |
|
39 |
38
|
adantr |
|
40 |
32 39
|
mpbid |
|
41 |
40
|
breq2d |
|
42 |
9 41
|
mtbid |
|
43 |
42
|
ex |
|
44 |
43
|
necon2ad |
|
45 |
7 44
|
mpd |
|