Step |
Hyp |
Ref |
Expression |
1 |
|
df-pprod |
|
2 |
|
txprel |
|
3 |
|
txpss3v |
|
4 |
3
|
sseli |
|
5 |
|
opelxp2 |
|
6 |
4 5
|
syl |
|
7 |
|
elvv |
|
8 |
|
opeq2 |
|
9 |
8
|
eleq1d |
|
10 |
|
df-br |
|
11 |
|
vex |
|
12 |
|
vex |
|
13 |
|
vex |
|
14 |
11 12 13
|
brtxp |
|
15 |
11 12
|
brco |
|
16 |
|
vex |
|
17 |
16
|
brresi |
|
18 |
17
|
simplbi |
|
19 |
18
|
adantr |
|
20 |
19
|
exlimiv |
|
21 |
15 20
|
sylbi |
|
22 |
21
|
adantr |
|
23 |
14 22
|
sylbi |
|
24 |
10 23
|
sylbir |
|
25 |
9 24
|
syl6bi |
|
26 |
25
|
exlimivv |
|
27 |
7 26
|
sylbi |
|
28 |
6 27
|
mpcom |
|
29 |
28 6
|
opelxpd |
|
30 |
2 29
|
relssi |
|
31 |
1 30
|
eqsstri |
|