Step |
Hyp |
Ref |
Expression |
1 |
|
uspgredg2v.v |
|
2 |
|
uspgredg2v.e |
|
3 |
|
uspgredg2v.a |
|
4 |
|
uspgredg2v.f |
|
5 |
1 2 3
|
uspgredg2vlem |
|
6 |
5
|
ralrimiva |
|
7 |
6
|
adantr |
|
8 |
|
preq2 |
|
9 |
8
|
eqeq2d |
|
10 |
9
|
cbvriotavw |
|
11 |
8
|
eqeq2d |
|
12 |
11
|
cbvriotavw |
|
13 |
|
simpl |
|
14 |
|
eleq2w |
|
15 |
14 3
|
elrab2 |
|
16 |
2
|
eleq2i |
|
17 |
16
|
biimpi |
|
18 |
17
|
anim1i |
|
19 |
15 18
|
sylbi |
|
20 |
19
|
adantr |
|
21 |
13 20
|
anim12i |
|
22 |
|
3anass |
|
23 |
21 22
|
sylibr |
|
24 |
|
uspgredg2vtxeu |
|
25 |
|
reueq1 |
|
26 |
1 25
|
ax-mp |
|
27 |
24 26
|
sylibr |
|
28 |
23 27
|
syl |
|
29 |
|
eleq2w |
|
30 |
29 3
|
elrab2 |
|
31 |
2
|
eleq2i |
|
32 |
31
|
biimpi |
|
33 |
32
|
anim1i |
|
34 |
30 33
|
sylbi |
|
35 |
34
|
adantl |
|
36 |
13 35
|
anim12i |
|
37 |
|
3anass |
|
38 |
36 37
|
sylibr |
|
39 |
|
uspgredg2vtxeu |
|
40 |
|
reueq1 |
|
41 |
1 40
|
ax-mp |
|
42 |
39 41
|
sylibr |
|
43 |
38 42
|
syl |
|
44 |
10 12 28 43
|
riotaeqimp |
|
45 |
44
|
ex |
|
46 |
45
|
ralrimivva |
|
47 |
|
eqeq1 |
|
48 |
47
|
riotabidv |
|
49 |
4 48
|
f1mpt |
|
50 |
7 46 49
|
sylanbrc |
|