Step |
Hyp |
Ref |
Expression |
1 |
|
vex |
|
2 |
1
|
elrn |
|
3 |
|
vex |
|
4 |
3 1
|
breldm |
|
5 |
|
dmtpos |
|
6 |
5
|
eleq2d |
|
7 |
4 6
|
syl5ib |
|
8 |
|
relcnv |
|
9 |
|
elrel |
|
10 |
8 9
|
mpan |
|
11 |
7 10
|
syl6 |
|
12 |
|
breq1 |
|
13 |
|
brtpos |
|
14 |
13
|
elv |
|
15 |
12 14
|
bitrdi |
|
16 |
|
opex |
|
17 |
16 1
|
brelrn |
|
18 |
15 17
|
syl6bi |
|
19 |
18
|
exlimivv |
|
20 |
11 19
|
syli |
|
21 |
20
|
exlimdv |
|
22 |
2 21
|
syl5bi |
|
23 |
1
|
elrn |
|
24 |
3 1
|
breldm |
|
25 |
|
elrel |
|
26 |
25
|
ex |
|
27 |
24 26
|
syl5 |
|
28 |
|
breq1 |
|
29 |
28 14
|
bitr4di |
|
30 |
|
opex |
|
31 |
30 1
|
brelrn |
|
32 |
29 31
|
syl6bi |
|
33 |
32
|
exlimivv |
|
34 |
27 33
|
syli |
|
35 |
34
|
exlimdv |
|
36 |
23 35
|
syl5bi |
|
37 |
22 36
|
impbid |
|
38 |
37
|
eqrdv |
|