Step |
Hyp |
Ref |
Expression |
1 |
|
fssxp |
|
2 |
|
df-ss |
|
3 |
1 2
|
sylib |
|
4 |
|
ffn |
|
5 |
|
dffn5 |
|
6 |
4 5
|
sylib |
|
7 |
6
|
ineq1d |
|
8 |
3 7
|
eqtr3d |
|
9 |
|
df-mpt |
|
10 |
|
df-xp |
|
11 |
9 10
|
ineq12i |
|
12 |
|
inopab |
|
13 |
|
anandi |
|
14 |
|
ancom |
|
15 |
14
|
anbi2i |
|
16 |
|
anass |
|
17 |
|
eqcom |
|
18 |
17
|
anbi2i |
|
19 |
15 16 18
|
3bitr2i |
|
20 |
13 19
|
bitr3i |
|
21 |
20
|
opabbii |
|
22 |
11 12 21
|
3eqtri |
|
23 |
8 22
|
eqtrdi |
|