Step |
Hyp |
Ref |
Expression |
1 |
|
uhgr3cyclex.v |
|
2 |
|
uhgr3cyclex.e |
|
3 |
|
umgrupgr |
|
4 |
3
|
adantr |
|
5 |
|
simpl |
|
6 |
5
|
adantl |
|
7 |
|
simpr |
|
8 |
7
|
adantl |
|
9 |
2 1
|
upgr3v3e3cycl |
|
10 |
|
simpl |
|
11 |
10
|
reximi |
|
12 |
11
|
reximi |
|
13 |
12
|
reximi |
|
14 |
9 13
|
syl |
|
15 |
4 6 8 14
|
syl3anc |
|
16 |
15
|
ex |
|
17 |
16
|
exlimdvv |
|
18 |
|
simplll |
|
19 |
|
df-3an |
|
20 |
19
|
biimpri |
|
21 |
20
|
ad4ant23 |
|
22 |
|
simpr |
|
23 |
1 2
|
umgr3cyclex |
|
24 |
|
3simpa |
|
25 |
24
|
2eximi |
|
26 |
23 25
|
syl |
|
27 |
18 21 22 26
|
syl3anc |
|
28 |
27
|
rexlimdva2 |
|
29 |
28
|
rexlimdvva |
|
30 |
17 29
|
impbid |
|