Step |
Hyp |
Ref |
Expression |
1 |
|
simp1 |
|
2 |
|
eqid |
|
3 |
|
eqid |
|
4 |
2 3
|
lssss |
|
5 |
4
|
3ad2ant2 |
|
6 |
|
sstr |
|
7 |
|
fvex |
|
8 |
7
|
ssex |
|
9 |
|
elpwg |
|
10 |
9
|
biimprd |
|
11 |
8 10
|
mpcom |
|
12 |
6 11
|
syl |
|
13 |
12
|
ex |
|
14 |
13
|
3ad2ant3 |
|
15 |
5 14
|
mpd |
|
16 |
|
eqid |
|
17 |
|
eqid |
|
18 |
2 16 17
|
lcoval |
|
19 |
1 15 18
|
syl2anc |
|
20 |
|
lincellss |
|
21 |
20
|
imp |
|
22 |
|
eleq1 |
|
23 |
21 22
|
syl5ibr |
|
24 |
23
|
expd |
|
25 |
24
|
com12 |
|
26 |
25
|
adantr |
|
27 |
26
|
com13 |
|
28 |
27
|
impr |
|
29 |
28
|
rexlimiva |
|
30 |
29
|
com12 |
|
31 |
30
|
expimpd |
|
32 |
19 31
|
sylbid |
|
33 |
32
|
ralrimiv |
|