Step |
Hyp |
Ref |
Expression |
1 |
|
usgrexi.p |
|
2 |
1
|
usgrexi |
|
3 |
1
|
cusgrexilem1 |
|
4 |
|
opvtxfv |
|
5 |
4
|
eqcomd |
|
6 |
3 5
|
mpdan |
|
7 |
6
|
eleq2d |
|
8 |
7
|
biimpa |
|
9 |
|
eldifi |
|
10 |
9
|
adantl |
|
11 |
3 4
|
mpdan |
|
12 |
11
|
eleq2d |
|
13 |
12
|
ad2antrr |
|
14 |
10 13
|
mpbird |
|
15 |
|
simplr |
|
16 |
11
|
eleq2d |
|
17 |
16
|
ad2antrr |
|
18 |
15 17
|
mpbird |
|
19 |
14 18
|
jca |
|
20 |
|
eldifsni |
|
21 |
20
|
adantl |
|
22 |
1
|
cusgrexilem2 |
|
23 |
|
edgval |
|
24 |
|
opiedgfv |
|
25 |
3 24
|
mpdan |
|
26 |
25
|
rneqd |
|
27 |
23 26
|
syl5eq |
|
28 |
27
|
rexeqdv |
|
29 |
28
|
ad2antrr |
|
30 |
22 29
|
mpbird |
|
31 |
|
eqid |
|
32 |
|
eqid |
|
33 |
31 32
|
nbgrel |
|
34 |
19 21 30 33
|
syl3anbrc |
|
35 |
34
|
ralrimiva |
|
36 |
11
|
adantr |
|
37 |
36
|
difeq1d |
|
38 |
37
|
raleqdv |
|
39 |
35 38
|
mpbird |
|
40 |
31
|
uvtxel |
|
41 |
8 39 40
|
sylanbrc |
|
42 |
41
|
ralrimiva |
|
43 |
11
|
raleqdv |
|
44 |
42 43
|
mpbird |
|
45 |
|
opex |
|
46 |
31
|
iscplgr |
|
47 |
45 46
|
mp1i |
|
48 |
44 47
|
mpbird |
|
49 |
|
iscusgr |
|
50 |
2 48 49
|
sylanbrc |
|