Step |
Hyp |
Ref |
Expression |
1 |
|
ovg.1 |
|
2 |
|
ovg.2 |
|
3 |
|
ovg.3 |
|
4 |
|
ovg.4 |
|
5 |
|
ovg.5 |
|
6 |
|
df-ov |
|
7 |
5
|
fveq1i |
|
8 |
6 7
|
eqtri |
|
9 |
8
|
eqeq1i |
|
10 |
|
eqeq2 |
|
11 |
|
opeq2 |
|
12 |
11
|
eleq1d |
|
13 |
10 12
|
bibi12d |
|
14 |
13
|
imbi2d |
|
15 |
4
|
ex |
|
16 |
15
|
alrimivv |
|
17 |
|
fnoprabg |
|
18 |
16 17
|
syl |
|
19 |
|
eleq1 |
|
20 |
19
|
anbi1d |
|
21 |
|
eleq1 |
|
22 |
21
|
anbi2d |
|
23 |
20 22
|
opelopabg |
|
24 |
23
|
ibir |
|
25 |
|
fnopfvb |
|
26 |
18 24 25
|
syl2an |
|
27 |
14 26
|
vtoclg |
|
28 |
27
|
com12 |
|
29 |
28
|
exp32 |
|
30 |
29
|
3imp2 |
|
31 |
20 1
|
anbi12d |
|
32 |
22 2
|
anbi12d |
|
33 |
3
|
anbi2d |
|
34 |
31 32 33
|
eloprabg |
|
35 |
34
|
adantl |
|
36 |
30 35
|
bitrd |
|
37 |
9 36
|
syl5bb |
|
38 |
|
biidd |
|
39 |
38
|
bianabs |
|
40 |
39
|
3adant3 |
|
41 |
40
|
adantl |
|
42 |
37 41
|
bitrd |
|