Step |
Hyp |
Ref |
Expression |
1 |
|
ufilfil |
|
2 |
|
filfbas |
|
3 |
1 2
|
syl |
|
4 |
|
fmfil |
|
5 |
3 4
|
syl3an2 |
|
6 |
|
simpl2 |
|
7 |
6 1 2
|
3syl |
|
8 |
|
simprl |
|
9 |
|
simpl3 |
|
10 |
|
simprr |
|
11 |
7 8 9 10
|
fmfnfm |
|
12 |
6
|
adantr |
|
13 |
|
simprl |
|
14 |
|
simprrl |
|
15 |
|
ufilmax |
|
16 |
12 13 14 15
|
syl3anc |
|
17 |
16
|
fveq2d |
|
18 |
|
simprrr |
|
19 |
17 18
|
eqtr4d |
|
20 |
11 19
|
rexlimddv |
|
21 |
20
|
expr |
|
22 |
21
|
ralrimiva |
|
23 |
|
isufil2 |
|
24 |
5 22 23
|
sylanbrc |
|