Step |
Hyp |
Ref |
Expression |
1 |
|
flffbas.l |
|
2 |
|
fgcl |
|
3 |
1 2
|
eqeltrid |
|
4 |
|
isflf |
|
5 |
3 4
|
syl3an2 |
|
6 |
1
|
eleq2i |
|
7 |
|
elfg |
|
8 |
7
|
3ad2ant2 |
|
9 |
|
sstr2 |
|
10 |
|
imass2 |
|
11 |
9 10
|
syl11 |
|
12 |
11
|
adantl |
|
13 |
12
|
reximdv |
|
14 |
13
|
ex |
|
15 |
14
|
com23 |
|
16 |
15
|
adantld |
|
17 |
8 16
|
sylbid |
|
18 |
17
|
adantr |
|
19 |
6 18
|
syl5bi |
|
20 |
19
|
rexlimdv |
|
21 |
|
ssfg |
|
22 |
21 1
|
sseqtrrdi |
|
23 |
22
|
sselda |
|
24 |
23
|
3ad2antl2 |
|
25 |
24
|
ad2ant2r |
|
26 |
|
simprr |
|
27 |
|
imaeq2 |
|
28 |
27
|
sseq1d |
|
29 |
28
|
rspcev |
|
30 |
25 26 29
|
syl2anc |
|
31 |
30
|
rexlimdvaa |
|
32 |
20 31
|
impbid |
|
33 |
32
|
imbi2d |
|
34 |
33
|
ralbidv |
|
35 |
34
|
pm5.32da |
|
36 |
5 35
|
bitrd |
|