Step |
Hyp |
Ref |
Expression |
1 |
|
intsaluni.ga |
|
2 |
|
intsaluni.gn0 |
|
3 |
|
intsaluni.x |
|
4 |
|
nfv |
|
5 |
|
nfv |
|
6 |
|
n0 |
|
7 |
6
|
biimpi |
|
8 |
2 7
|
syl |
|
9 |
|
intss1 |
|
10 |
9
|
unissd |
|
11 |
10
|
adantl |
|
12 |
11 3
|
sseqtrd |
|
13 |
3
|
adantr |
|
14 |
|
eleq1w |
|
15 |
14
|
anbi2d |
|
16 |
|
unieq |
|
17 |
16
|
eqeq1d |
|
18 |
15 17
|
imbi12d |
|
19 |
18 3
|
chvarvv |
|
20 |
19
|
eqcomd |
|
21 |
20
|
adantlr |
|
22 |
13 21
|
eqtrd |
|
23 |
1
|
sselda |
|
24 |
|
saluni |
|
25 |
23 24
|
syl |
|
26 |
25
|
adantlr |
|
27 |
22 26
|
eqeltrd |
|
28 |
27
|
ralrimiva |
|
29 |
|
uniexg |
|
30 |
29
|
adantl |
|
31 |
|
elintg |
|
32 |
30 31
|
syl |
|
33 |
28 32
|
mpbird |
|
34 |
33
|
adantr |
|
35 |
|
simpr |
|
36 |
3
|
eqcomd |
|
37 |
36
|
adantr |
|
38 |
35 37
|
eleqtrd |
|
39 |
|
eleq2 |
|
40 |
39
|
rspcev |
|
41 |
34 38 40
|
syl2anc |
|
42 |
|
eluni2 |
|
43 |
41 42
|
sylibr |
|
44 |
12 43
|
eqelssd |
|
45 |
44
|
ex |
|
46 |
4 5 8 45
|
exlimimdd |
|