Step |
Hyp |
Ref |
Expression |
1 |
|
vrgpfval.r |
|
2 |
|
vrgpfval.u |
|
3 |
|
vrgpf.m |
|
4 |
|
vrgpinv.n |
|
5 |
1 2
|
vrgpval |
|
6 |
5
|
fveq2d |
|
7 |
|
simpr |
|
8 |
|
0ex |
|
9 |
8
|
prid1 |
|
10 |
|
df2o3 |
|
11 |
9 10
|
eleqtrri |
|
12 |
|
opelxpi |
|
13 |
7 11 12
|
sylancl |
|
14 |
13
|
s1cld |
|
15 |
|
simpl |
|
16 |
|
2on |
|
17 |
|
xpexg |
|
18 |
15 16 17
|
sylancl |
|
19 |
|
wrdexg |
|
20 |
|
fvi |
|
21 |
18 19 20
|
3syl |
|
22 |
14 21
|
eleqtrrd |
|
23 |
|
eqid |
|
24 |
|
eqid |
|
25 |
23 3 1 4 24
|
frgpinv |
|
26 |
22 25
|
syl |
|
27 |
|
revs1 |
|
28 |
27
|
a1i |
|
29 |
28
|
coeq2d |
|
30 |
24
|
efgmf |
|
31 |
|
s1co |
|
32 |
13 30 31
|
sylancl |
|
33 |
24
|
efgmval |
|
34 |
7 11 33
|
sylancl |
|
35 |
|
df-ov |
|
36 |
|
dif0 |
|
37 |
36
|
opeq2i |
|
38 |
34 35 37
|
3eqtr3g |
|
39 |
38
|
s1eqd |
|
40 |
29 32 39
|
3eqtrd |
|
41 |
40
|
eceq1d |
|
42 |
6 26 41
|
3eqtrd |
|