Step |
Hyp |
Ref |
Expression |
1 |
|
ssuzfz.1 |
|
2 |
|
ssuzfz.2 |
|
3 |
|
ssuzfz.3 |
|
4 |
2
|
sselda |
|
5 |
4 1
|
eleqtrdi |
|
6 |
|
eluzel2 |
|
7 |
5 6
|
syl |
|
8 |
|
uzssz |
|
9 |
1 8
|
eqsstri |
|
10 |
9
|
a1i |
|
11 |
2 10
|
sstrd |
|
12 |
11
|
adantr |
|
13 |
|
ne0i |
|
14 |
13
|
adantl |
|
15 |
3
|
adantr |
|
16 |
|
suprfinzcl |
|
17 |
12 14 15 16
|
syl3anc |
|
18 |
12 17
|
sseldd |
|
19 |
11
|
sselda |
|
20 |
7 18 19
|
3jca |
|
21 |
|
eluzle |
|
22 |
5 21
|
syl |
|
23 |
|
zssre |
|
24 |
23
|
a1i |
|
25 |
11 24
|
sstrd |
|
26 |
25
|
adantr |
|
27 |
|
simpr |
|
28 |
|
eqidd |
|
29 |
26 15 27 28
|
supfirege |
|
30 |
20 22 29
|
jca32 |
|
31 |
|
elfz2 |
|
32 |
30 31
|
sylibr |
|
33 |
32
|
ex |
|
34 |
33
|
ralrimiv |
|
35 |
|
dfss3 |
|
36 |
34 35
|
sylibr |
|