Step |
Hyp |
Ref |
Expression |
1 |
|
psubspset.l |
|
2 |
|
psubspset.j |
|
3 |
|
psubspset.a |
|
4 |
|
psubspset.s |
|
5 |
|
elex |
|
6 |
|
fveq2 |
|
7 |
6 3
|
eqtr4di |
|
8 |
7
|
sseq2d |
|
9 |
|
fveq2 |
|
10 |
9 2
|
eqtr4di |
|
11 |
10
|
oveqd |
|
12 |
11
|
breq2d |
|
13 |
|
fveq2 |
|
14 |
13 1
|
eqtr4di |
|
15 |
14
|
breqd |
|
16 |
12 15
|
bitrd |
|
17 |
16
|
imbi1d |
|
18 |
7 17
|
raleqbidv |
|
19 |
18
|
2ralbidv |
|
20 |
8 19
|
anbi12d |
|
21 |
20
|
abbidv |
|
22 |
|
df-psubsp |
|
23 |
3
|
fvexi |
|
24 |
23
|
pwex |
|
25 |
|
velpw |
|
26 |
25
|
anbi1i |
|
27 |
26
|
abbii |
|
28 |
|
ssab2 |
|
29 |
27 28
|
eqsstrri |
|
30 |
24 29
|
ssexi |
|
31 |
21 22 30
|
fvmpt |
|
32 |
4 31
|
syl5eq |
|
33 |
5 32
|
syl |
|