Step |
Hyp |
Ref |
Expression |
1 |
|
prtlem18.1 |
|
2 |
|
errel |
|
3 |
2
|
adantr |
|
4 |
1
|
relopabi |
|
5 |
1
|
prtlem13 |
|
6 |
|
simpll |
|
7 |
|
simprl |
|
8 |
|
ne0i |
|
9 |
8
|
ad2antll |
|
10 |
|
eldifsn |
|
11 |
7 9 10
|
sylanbrc |
|
12 |
|
simplr |
|
13 |
11 12
|
eleqtrrd |
|
14 |
|
simprr |
|
15 |
|
qsel |
|
16 |
6 13 14 15
|
syl3anc |
|
17 |
16
|
eleq2d |
|
18 |
|
vex |
|
19 |
|
vex |
|
20 |
18 19
|
elec |
|
21 |
17 20
|
syl6bb |
|
22 |
21
|
anassrs |
|
23 |
22
|
pm5.32da |
|
24 |
23
|
rexbidva |
|
25 |
|
simpll |
|
26 |
|
simpr |
|
27 |
25 26
|
ercl |
|
28 |
|
eluni2 |
|
29 |
27 28
|
sylib |
|
30 |
29
|
ex |
|
31 |
30
|
pm4.71rd |
|
32 |
|
r19.41v |
|
33 |
31 32
|
bitr4di |
|
34 |
24 33
|
bitr4d |
|
35 |
5 34
|
syl5bb |
|
36 |
35
|
adantl |
|
37 |
36
|
eqbrrdv2 |
|
38 |
4 37
|
mpanl1 |
|
39 |
3 38
|
mpancom |
|