Step |
Hyp |
Ref |
Expression |
1 |
|
nbupgruvtxres.v |
|
2 |
|
nbupgruvtxres.e |
|
3 |
|
nbupgruvtxres.f |
|
4 |
|
nbupgruvtxres.s |
|
5 |
1
|
uvtxnbgr |
|
6 |
1 2 3 4
|
nbupgruvtxres |
|
7 |
6
|
imp |
|
8 |
|
difpr |
|
9 |
1 2 3 4
|
upgrres1lem2 |
|
10 |
9
|
difeq1i |
|
11 |
10
|
a1i |
|
12 |
8 11
|
eqtr4id |
|
13 |
12
|
adantr |
|
14 |
7 13
|
eqtrd |
|
15 |
|
simpr |
|
16 |
15 9
|
eleqtrrdi |
|
17 |
16
|
adantr |
|
18 |
|
eqid |
|
19 |
18
|
uvtxnbgrb |
|
20 |
17 19
|
syl |
|
21 |
14 20
|
mpbird |
|
22 |
21
|
ex |
|
23 |
5 22
|
syl5 |
|