Step |
Hyp |
Ref |
Expression |
1 |
|
frgpup.b |
|
2 |
|
frgpup.n |
|
3 |
|
frgpup.t |
|
4 |
|
frgpup.h |
|
5 |
|
frgpup.i |
|
6 |
|
frgpup.a |
|
7 |
|
frgpup.w |
|
8 |
|
frgpup.r |
|
9 |
|
frgpup.g |
|
10 |
|
frgpup.x |
|
11 |
|
frgpup.e |
|
12 |
|
frgpup.u |
|
13 |
|
frgpup.y |
|
14 |
8 12
|
vrgpval |
|
15 |
5 13 14
|
syl2anc |
|
16 |
15
|
fveq2d |
|
17 |
|
0ex |
|
18 |
17
|
prid1 |
|
19 |
|
df2o3 |
|
20 |
18 19
|
eleqtrri |
|
21 |
|
opelxpi |
|
22 |
13 20 21
|
sylancl |
|
23 |
22
|
s1cld |
|
24 |
|
2on |
|
25 |
|
xpexg |
|
26 |
5 24 25
|
sylancl |
|
27 |
|
wrdexg |
|
28 |
|
fvi |
|
29 |
26 27 28
|
3syl |
|
30 |
7 29
|
syl5eq |
|
31 |
23 30
|
eleqtrrd |
|
32 |
1 2 3 4 5 6 7 8 9 10 11
|
frgpupval |
|
33 |
31 32
|
mpdan |
|
34 |
1 2 3 4 5 6
|
frgpuptf |
|
35 |
|
s1co |
|
36 |
22 34 35
|
syl2anc |
|
37 |
|
df-ov |
|
38 |
|
iftrue |
|
39 |
|
fveq2 |
|
40 |
38 39
|
sylan9eqr |
|
41 |
|
fvex |
|
42 |
40 3 41
|
ovmpoa |
|
43 |
13 20 42
|
sylancl |
|
44 |
37 43
|
syl5eqr |
|
45 |
44
|
s1eqd |
|
46 |
36 45
|
eqtrd |
|
47 |
46
|
oveq2d |
|
48 |
6 13
|
ffvelrnd |
|
49 |
1
|
gsumws1 |
|
50 |
48 49
|
syl |
|
51 |
47 50
|
eqtrd |
|
52 |
16 33 51
|
3eqtrd |
|