Step |
Hyp |
Ref |
Expression |
1 |
|
uvtxel.v |
|
2 |
|
isuvtx.e |
|
3 |
1
|
uvtxval |
|
4 |
3
|
a1i |
|
5 |
4
|
neeq1d |
|
6 |
|
rabn0 |
|
7 |
6
|
a1i |
|
8 |
|
falseral0 |
|
9 |
8
|
ex |
|
10 |
|
noel |
|
11 |
9 10
|
mpg |
|
12 |
|
ssdif0 |
|
13 |
|
sssn |
|
14 |
|
ne0i |
|
15 |
|
eqneqall |
|
16 |
14 15
|
syl5 |
|
17 |
|
ax-1 |
|
18 |
16 17
|
jaoi |
|
19 |
13 18
|
sylbi |
|
20 |
12 19
|
sylbir |
|
21 |
11 20
|
syl |
|
22 |
21
|
impcom |
|
23 |
|
vsnid |
|
24 |
|
eleq2 |
|
25 |
23 24
|
mpbiri |
|
26 |
|
ralel |
|
27 |
|
difeq1 |
|
28 |
|
difid |
|
29 |
27 28
|
eqtrdi |
|
30 |
29
|
raleqdv |
|
31 |
26 30
|
mpbiri |
|
32 |
25 31
|
jca |
|
33 |
22 32
|
impbii |
|
34 |
33
|
a1i |
|
35 |
34
|
exbidv |
|
36 |
2
|
eqeq1i |
|
37 |
|
nbgr0edg |
|
38 |
36 37
|
sylbi |
|
39 |
38
|
eleq2d |
|
40 |
39
|
rexralbidv |
|
41 |
|
df-rex |
|
42 |
40 41
|
syl6bb |
|
43 |
1
|
fvexi |
|
44 |
|
hash1snb |
|
45 |
43 44
|
mp1i |
|
46 |
35 42 45
|
3bitr4d |
|
47 |
5 7 46
|
3bitrd |
|