Step |
Hyp |
Ref |
Expression |
1 |
|
brpprod.1 |
|
2 |
|
brpprod.2 |
|
3 |
|
brpprod.3 |
|
4 |
|
brpprod.4 |
|
5 |
|
df-pprod |
|
6 |
5
|
breqi |
|
7 |
|
opex |
|
8 |
7 3 4
|
brtxp |
|
9 |
7 3
|
brco |
|
10 |
1 2
|
opelvv |
|
11 |
|
vex |
|
12 |
11
|
brresi |
|
13 |
10 12
|
mpbiran |
|
14 |
1 2
|
br1steq |
|
15 |
13 14
|
bitri |
|
16 |
15
|
anbi1i |
|
17 |
16
|
exbii |
|
18 |
|
breq1 |
|
19 |
1 18
|
ceqsexv |
|
20 |
9 17 19
|
3bitri |
|
21 |
7 4
|
brco |
|
22 |
|
vex |
|
23 |
22
|
brresi |
|
24 |
10 23
|
mpbiran |
|
25 |
1 2
|
br2ndeq |
|
26 |
24 25
|
bitri |
|
27 |
26
|
anbi1i |
|
28 |
27
|
exbii |
|
29 |
|
breq1 |
|
30 |
2 29
|
ceqsexv |
|
31 |
21 28 30
|
3bitri |
|
32 |
20 31
|
anbi12i |
|
33 |
6 8 32
|
3bitri |
|