Step |
Hyp |
Ref |
Expression |
1 |
|
vtxdgf.v |
|
2 |
|
vtxdg0e.i |
|
3 |
2
|
eqeq1i |
|
4 |
|
dmeq |
|
5 |
|
dm0 |
|
6 |
4 5
|
eqtrdi |
|
7 |
|
0fin |
|
8 |
6 7
|
eqeltrdi |
|
9 |
3 8
|
sylbi |
|
10 |
|
simpl |
|
11 |
|
eqid |
|
12 |
|
eqid |
|
13 |
1 11 12
|
vtxdgfival |
|
14 |
9 10 13
|
syl2an2 |
|
15 |
3 6
|
sylbi |
|
16 |
15
|
adantl |
|
17 |
|
rabeq |
|
18 |
|
rab0 |
|
19 |
17 18
|
eqtrdi |
|
20 |
19
|
fveq2d |
|
21 |
|
hash0 |
|
22 |
20 21
|
eqtrdi |
|
23 |
|
rabeq |
|
24 |
23
|
fveq2d |
|
25 |
|
rab0 |
|
26 |
25
|
fveq2i |
|
27 |
26 21
|
eqtri |
|
28 |
24 27
|
eqtrdi |
|
29 |
22 28
|
oveq12d |
|
30 |
16 29
|
syl |
|
31 |
|
00id |
|
32 |
30 31
|
eqtrdi |
|
33 |
14 32
|
eqtrd |
|