Step |
Hyp |
Ref |
Expression |
1 |
|
vciOLD.1 |
|
2 |
|
vciOLD.2 |
|
3 |
|
vciOLD.3 |
|
4 |
1 2 3
|
vciOLD |
|
5 |
|
simpl |
|
6 |
5
|
ralimi |
|
7 |
6
|
adantl |
|
8 |
7
|
ralimi |
|
9 |
8
|
3ad2ant3 |
|
10 |
4 9
|
syl |
|
11 |
|
oveq1 |
|
12 |
11
|
oveq2d |
|
13 |
|
oveq2 |
|
14 |
13
|
oveq1d |
|
15 |
12 14
|
eqeq12d |
|
16 |
|
oveq1 |
|
17 |
|
oveq1 |
|
18 |
|
oveq1 |
|
19 |
17 18
|
oveq12d |
|
20 |
16 19
|
eqeq12d |
|
21 |
|
oveq2 |
|
22 |
21
|
oveq2d |
|
23 |
|
oveq2 |
|
24 |
23
|
oveq2d |
|
25 |
22 24
|
eqeq12d |
|
26 |
15 20 25
|
rspc3v |
|
27 |
10 26
|
syl5 |
|
28 |
27
|
3com12 |
|
29 |
28
|
impcom |
|