Step |
Hyp |
Ref |
Expression |
1 |
|
isfcls2 |
|
2 |
|
filn0 |
|
3 |
2
|
adantl |
|
4 |
|
r19.2z |
|
5 |
4
|
ex |
|
6 |
3 5
|
syl |
|
7 |
|
topontop |
|
8 |
7
|
ad2antrr |
|
9 |
|
filelss |
|
10 |
9
|
adantll |
|
11 |
|
toponuni |
|
12 |
11
|
ad2antrr |
|
13 |
10 12
|
sseqtrd |
|
14 |
|
eqid |
|
15 |
14
|
clsss3 |
|
16 |
8 13 15
|
syl2anc |
|
17 |
16 12
|
sseqtrrd |
|
18 |
17
|
sseld |
|
19 |
18
|
rexlimdva |
|
20 |
6 19
|
syld |
|
21 |
20
|
pm4.71rd |
|
22 |
7
|
ad3antrrr |
|
23 |
13
|
adantlr |
|
24 |
|
simplr |
|
25 |
11
|
ad3antrrr |
|
26 |
24 25
|
eleqtrd |
|
27 |
14
|
elcls |
|
28 |
22 23 26 27
|
syl3anc |
|
29 |
28
|
ralbidva |
|
30 |
|
ralcom |
|
31 |
|
r19.21v |
|
32 |
31
|
ralbii |
|
33 |
30 32
|
bitri |
|
34 |
29 33
|
bitrdi |
|
35 |
34
|
pm5.32da |
|
36 |
1 21 35
|
3bitrd |
|