Step |
Hyp |
Ref |
Expression |
1 |
|
conngrv2edg.v |
|
2 |
|
conngrv2edg.i |
|
3 |
1
|
fvexi |
|
4 |
|
simp3 |
|
5 |
|
simp2 |
|
6 |
|
hashgt12el2 |
|
7 |
3 4 5 6
|
mp3an2i |
|
8 |
1
|
isconngr |
|
9 |
|
oveq1 |
|
10 |
9
|
breqd |
|
11 |
10
|
2exbidv |
|
12 |
|
oveq2 |
|
13 |
12
|
breqd |
|
14 |
13
|
2exbidv |
|
15 |
11 14
|
rspc2v |
|
16 |
15
|
ad2ant2r |
|
17 |
|
pthontrlon |
|
18 |
|
trlsonwlkon |
|
19 |
|
simpl |
|
20 |
|
simprr |
|
21 |
|
wlkon2n0 |
|
22 |
20 21
|
sylan2 |
|
23 |
19 22
|
jca |
|
24 |
23
|
ex |
|
25 |
17 18 24
|
3syl |
|
26 |
2
|
wlkonl1iedg |
|
27 |
25 26
|
syl6com |
|
28 |
27
|
exlimdvv |
|
29 |
16 28
|
syldc |
|
30 |
8 29
|
syl6bi |
|
31 |
30
|
pm2.43i |
|
32 |
31
|
expd |
|
33 |
32
|
3impib |
|
34 |
33
|
expd |
|
35 |
34
|
rexlimdv |
|
36 |
7 35
|
mpd |
|