Step |
Hyp |
Ref |
Expression |
1 |
|
vtxd0nedgb.v |
|
2 |
|
vtxd0nedgb.i |
|
3 |
|
vtxd0nedgb.d |
|
4 |
3
|
fveq1i |
|
5 |
|
eqid |
|
6 |
1 2 5
|
vtxdgval |
|
7 |
4 6
|
syl5eq |
|
8 |
7
|
eqeq1d |
|
9 |
2
|
fvexi |
|
10 |
9
|
dmex |
|
11 |
10
|
rabex |
|
12 |
|
hashxnn0 |
|
13 |
11 12
|
ax-mp |
|
14 |
10
|
rabex |
|
15 |
|
hashxnn0 |
|
16 |
14 15
|
ax-mp |
|
17 |
13 16
|
pm3.2i |
|
18 |
|
xnn0xadd0 |
|
19 |
17 18
|
mp1i |
|
20 |
|
hasheq0 |
|
21 |
11 20
|
ax-mp |
|
22 |
|
hasheq0 |
|
23 |
14 22
|
ax-mp |
|
24 |
21 23
|
anbi12i |
|
25 |
|
rabeq0 |
|
26 |
|
rabeq0 |
|
27 |
25 26
|
anbi12i |
|
28 |
|
ralnex |
|
29 |
28
|
bicomi |
|
30 |
|
ioran |
|
31 |
30
|
ralbii |
|
32 |
|
r19.26 |
|
33 |
29 31 32
|
3bitri |
|
34 |
33
|
bicomi |
|
35 |
24 27 34
|
3bitri |
|
36 |
|
orcom |
|
37 |
|
snidg |
|
38 |
|
eleq2 |
|
39 |
37 38
|
syl5ibrcom |
|
40 |
|
pm4.72 |
|
41 |
39 40
|
sylib |
|
42 |
36 41
|
bitr4id |
|
43 |
42
|
rexbidv |
|
44 |
43
|
notbid |
|
45 |
35 44
|
syl5bb |
|
46 |
8 19 45
|
3bitrd |
|