Step |
Hyp |
Ref |
Expression |
1 |
|
uhgrspan.v |
|
2 |
|
uhgrspan.e |
|
3 |
|
uhgrspan.s |
|
4 |
|
uhgrspan.q |
|
5 |
|
uhgrspan.r |
|
6 |
|
uhgrspan.g |
|
7 |
|
edgval |
|
8 |
7
|
eleq2i |
|
9 |
2
|
uhgrfun |
|
10 |
|
funres |
|
11 |
6 9 10
|
3syl |
|
12 |
5
|
funeqd |
|
13 |
11 12
|
mpbird |
|
14 |
|
elrnrexdmb |
|
15 |
13 14
|
syl |
|
16 |
5
|
adantr |
|
17 |
16
|
fveq1d |
|
18 |
5
|
dmeqd |
|
19 |
|
dmres |
|
20 |
18 19
|
eqtrdi |
|
21 |
20
|
eleq2d |
|
22 |
|
elinel1 |
|
23 |
21 22
|
syl6bi |
|
24 |
23
|
imp |
|
25 |
24
|
fvresd |
|
26 |
17 25
|
eqtrd |
|
27 |
|
elinel2 |
|
28 |
21 27
|
syl6bi |
|
29 |
28
|
imp |
|
30 |
1 2
|
uhgrss |
|
31 |
6 29 30
|
syl2an2r |
|
32 |
4
|
pweqd |
|
33 |
32
|
eleq2d |
|
34 |
33
|
adantr |
|
35 |
|
fvex |
|
36 |
35
|
elpw |
|
37 |
34 36
|
bitrdi |
|
38 |
31 37
|
mpbird |
|
39 |
26 38
|
eqeltrd |
|
40 |
|
eleq1 |
|
41 |
39 40
|
syl5ibrcom |
|
42 |
41
|
rexlimdva |
|
43 |
15 42
|
sylbid |
|
44 |
8 43
|
syl5bi |
|
45 |
44
|
ssrdv |
|