Step |
Hyp |
Ref |
Expression |
1 |
|
xpord2.1 |
|
2 |
|
sexp2.1 |
|
3 |
|
sexp2.2 |
|
4 |
|
elxp2 |
|
5 |
1
|
xpord2pred |
|
6 |
5
|
adantl |
|
7 |
|
setlikespec |
|
8 |
7
|
ancoms |
|
9 |
2 8
|
sylan |
|
10 |
9
|
adantrr |
|
11 |
|
snex |
|
12 |
11
|
a1i |
|
13 |
10 12
|
unexd |
|
14 |
|
setlikespec |
|
15 |
14
|
ancoms |
|
16 |
3 15
|
sylan |
|
17 |
16
|
adantrl |
|
18 |
|
snex |
|
19 |
18
|
a1i |
|
20 |
17 19
|
unexd |
|
21 |
13 20
|
xpexd |
|
22 |
21
|
difexd |
|
23 |
6 22
|
eqeltrd |
|
24 |
|
predeq3 |
|
25 |
24
|
eleq1d |
|
26 |
23 25
|
syl5ibrcom |
|
27 |
26
|
rexlimdvva |
|
28 |
4 27
|
syl5bi |
|
29 |
28
|
ralrimiv |
|
30 |
|
dfse3 |
|
31 |
29 30
|
sylibr |
|