Step |
Hyp |
Ref |
Expression |
1 |
|
xmetres |
|
2 |
|
iscfil2 |
|
3 |
2
|
simplbda |
|
4 |
1 3
|
sylan |
|
5 |
|
cfilfil |
|
6 |
1 5
|
sylan |
|
7 |
|
filelss |
|
8 |
6 7
|
sylan |
|
9 |
|
inss2 |
|
10 |
8 9
|
sstrdi |
|
11 |
10
|
sselda |
|
12 |
10
|
sselda |
|
13 |
11 12
|
anim12dan |
|
14 |
|
ovres |
|
15 |
13 14
|
syl |
|
16 |
15
|
breq1d |
|
17 |
16
|
2ralbidva |
|
18 |
17
|
rexbidva |
|
19 |
18
|
ralbidv |
|
20 |
4 19
|
mpbid |
|
21 |
|
filfbas |
|
22 |
6 21
|
syl |
|
23 |
|
filsspw |
|
24 |
6 23
|
syl |
|
25 |
|
inss1 |
|
26 |
25
|
sspwi |
|
27 |
24 26
|
sstrdi |
|
28 |
|
elfvdm |
|
29 |
28
|
adantr |
|
30 |
|
fbasweak |
|
31 |
22 27 29 30
|
syl3anc |
|
32 |
|
fgcfil |
|
33 |
31 32
|
syldan |
|
34 |
20 33
|
mpbird |
|