Step |
Hyp |
Ref |
Expression |
1 |
|
elvv |
|
2 |
|
fveq2 |
|
3 |
|
df-ov |
|
4 |
|
simpl |
|
5 |
|
mpov |
|
6 |
5
|
eqcomi |
|
7 |
|
vex |
|
8 |
4 6 7
|
ovmpoa |
|
9 |
8
|
el2v |
|
10 |
3 9
|
eqtr3i |
|
11 |
2 10
|
eqtrdi |
|
12 |
|
vex |
|
13 |
7 12
|
op1std |
|
14 |
11 13
|
eqtr4d |
|
15 |
14
|
exlimivv |
|
16 |
1 15
|
sylbi |
|
17 |
|
vex |
|
18 |
|
vex |
|
19 |
17 18
|
pm3.2i |
|
20 |
|
ax6ev |
|
21 |
19 20
|
2th |
|
22 |
21
|
opabbii |
|
23 |
|
df-xp |
|
24 |
|
dmoprab |
|
25 |
22 23 24
|
3eqtr4ri |
|
26 |
25
|
eleq2i |
|
27 |
|
ndmfv |
|
28 |
26 27
|
sylnbir |
|
29 |
|
dmsnn0 |
|
30 |
29
|
biimpri |
|
31 |
30
|
necon1bi |
|
32 |
31
|
unieqd |
|
33 |
|
uni0 |
|
34 |
32 33
|
eqtrdi |
|
35 |
28 34
|
eqtr4d |
|
36 |
|
1stval |
|
37 |
35 36
|
eqtr4di |
|
38 |
16 37
|
pm2.61i |
|