Step |
Hyp |
Ref |
Expression |
1 |
|
0subm.z |
|
2 |
|
eqid |
|
3 |
2 1
|
mndidcl |
|
4 |
3
|
snssd |
|
5 |
1
|
fvexi |
|
6 |
5
|
snid |
|
7 |
6
|
a1i |
|
8 |
|
velsn |
|
9 |
|
velsn |
|
10 |
8 9
|
anbi12i |
|
11 |
|
eqid |
|
12 |
2 11 1
|
mndlid |
|
13 |
3 12
|
mpdan |
|
14 |
|
ovex |
|
15 |
14
|
elsn |
|
16 |
13 15
|
sylibr |
|
17 |
|
oveq12 |
|
18 |
17
|
eleq1d |
|
19 |
16 18
|
syl5ibrcom |
|
20 |
10 19
|
syl5bi |
|
21 |
20
|
ralrimivv |
|
22 |
2 1 11
|
issubm |
|
23 |
4 7 21 22
|
mpbir3and |
|