Step |
Hyp |
Ref |
Expression |
1 |
|
df-tp |
|
2 |
1
|
ineq2i |
|
3 |
|
df-tp |
|
4 |
3
|
ineq1i |
|
5 |
|
3simpa |
|
6 |
|
3simpa |
|
7 |
|
disjpr2 |
|
8 |
5 6 7
|
syl2an |
|
9 |
8
|
3adant3 |
|
10 |
|
incom |
|
11 |
|
necom |
|
12 |
11
|
biimpi |
|
13 |
12
|
3ad2ant3 |
|
14 |
|
necom |
|
15 |
14
|
biimpi |
|
16 |
15
|
3ad2ant3 |
|
17 |
|
disjprsn |
|
18 |
13 16 17
|
syl2an |
|
19 |
18
|
3adant3 |
|
20 |
10 19
|
syl5eq |
|
21 |
9 20
|
jca |
|
22 |
|
undisj1 |
|
23 |
21 22
|
sylib |
|
24 |
4 23
|
syl5eq |
|
25 |
|
disjtpsn |
|
26 |
25
|
3ad2ant3 |
|
27 |
24 26
|
jca |
|
28 |
|
undisj2 |
|
29 |
27 28
|
sylib |
|
30 |
2 29
|
syl5eq |
|