Step |
Hyp |
Ref |
Expression |
1 |
|
mdbr2 |
|
2 |
|
chincl |
|
3 |
|
inss2 |
|
4 |
|
sseq1 |
|
5 |
|
oveq1 |
|
6 |
5
|
ineq1d |
|
7 |
|
oveq1 |
|
8 |
6 7
|
sseq12d |
|
9 |
4 8
|
imbi12d |
|
10 |
9
|
rspcv |
|
11 |
3 10
|
mpii |
|
12 |
2 11
|
syl |
|
13 |
12
|
ex |
|
14 |
13
|
com3l |
|
15 |
14
|
ralrimdv |
|
16 |
|
dfss |
|
17 |
16
|
biimpi |
|
18 |
17
|
oveq1d |
|
19 |
18
|
ineq1d |
|
20 |
17
|
oveq1d |
|
21 |
19 20
|
sseq12d |
|
22 |
21
|
biimprcd |
|
23 |
22
|
ralimi |
|
24 |
|
sseq1 |
|
25 |
|
oveq1 |
|
26 |
25
|
ineq1d |
|
27 |
|
oveq1 |
|
28 |
26 27
|
sseq12d |
|
29 |
24 28
|
imbi12d |
|
30 |
29
|
cbvralvw |
|
31 |
23 30
|
sylib |
|
32 |
15 31
|
impbid1 |
|
33 |
32
|
adantl |
|
34 |
1 33
|
bitrd |
|