Step |
Hyp |
Ref |
Expression |
1 |
|
isclo.1 |
|
2 |
1
|
isclo |
|
3 |
|
eleq1w |
|
4 |
3
|
bibi2d |
|
5 |
4
|
cbvralvw |
|
6 |
5
|
anbi2i |
|
7 |
|
pm4.24 |
|
8 |
|
raaanv |
|
9 |
6 7 8
|
3bitr4i |
|
10 |
|
bibi1 |
|
11 |
10
|
biimpa |
|
12 |
11
|
biimpcd |
|
13 |
12
|
ralimdv |
|
14 |
13
|
com12 |
|
15 |
|
dfss3 |
|
16 |
14 15
|
syl6ibr |
|
17 |
16
|
ralimi |
|
18 |
9 17
|
sylbi |
|
19 |
|
eleq1w |
|
20 |
19
|
imbi1d |
|
21 |
20
|
rspcv |
|
22 |
|
dfss3 |
|
23 |
22
|
imbi2i |
|
24 |
|
r19.21v |
|
25 |
23 24
|
bitr4i |
|
26 |
21 25
|
syl6ib |
|
27 |
|
ssel |
|
28 |
27
|
com12 |
|
29 |
28
|
imim2d |
|
30 |
29
|
ralimdv |
|
31 |
26 30
|
jcad |
|
32 |
|
ralbiim |
|
33 |
31 32
|
syl6ibr |
|
34 |
18 33
|
impbid2 |
|
35 |
34
|
pm5.32i |
|
36 |
35
|
rexbii |
|
37 |
36
|
ralbii |
|
38 |
2 37
|
bitrdi |
|