Step |
Hyp |
Ref |
Expression |
1 |
|
uspgr1e.v |
|
2 |
|
uspgr1e.a |
|
3 |
|
uspgr1e.b |
|
4 |
|
uspgr1e.c |
|
5 |
|
uspgr1e.e |
|
6 |
|
prex |
|
7 |
6
|
snid |
|
8 |
|
f1sng |
|
9 |
2 7 8
|
sylancl |
|
10 |
3 4
|
prssd |
|
11 |
10 1
|
sseqtrdi |
|
12 |
6
|
elpw |
|
13 |
11 12
|
sylibr |
|
14 |
13 3
|
upgr1elem |
|
15 |
|
f1ss |
|
16 |
9 14 15
|
syl2anc |
|
17 |
6
|
a1i |
|
18 |
17 3
|
upgr1elem |
|
19 |
|
f1ss |
|
20 |
9 18 19
|
syl2anc |
|
21 |
|
f1dm |
|
22 |
|
f1eq2 |
|
23 |
20 21 22
|
3syl |
|
24 |
16 23
|
mpbird |
|
25 |
5
|
dmeqd |
|
26 |
|
eqidd |
|
27 |
5 25 26
|
f1eq123d |
|
28 |
24 27
|
mpbird |
|
29 |
1
|
1vgrex |
|
30 |
|
eqid |
|
31 |
|
eqid |
|
32 |
30 31
|
isuspgr |
|
33 |
3 29 32
|
3syl |
|
34 |
28 33
|
mpbird |
|