Step |
Hyp |
Ref |
Expression |
1 |
|
csboprabg |
|
2 |
|
sbcan |
|
3 |
|
sbcan |
|
4 |
|
sbcel12 |
|
5 |
|
csbconstg |
|
6 |
5
|
eleq1d |
|
7 |
4 6
|
syl5bb |
|
8 |
|
sbcel12 |
|
9 |
|
csbconstg |
|
10 |
9
|
eleq1d |
|
11 |
8 10
|
syl5bb |
|
12 |
7 11
|
anbi12d |
|
13 |
3 12
|
syl5bb |
|
14 |
|
sbceq2g |
|
15 |
13 14
|
anbi12d |
|
16 |
2 15
|
syl5bb |
|
17 |
16
|
oprabbidv |
|
18 |
1 17
|
eqtrd |
|
19 |
|
df-mpo |
|
20 |
19
|
csbeq2i |
|
21 |
|
df-mpo |
|
22 |
18 20 21
|
3eqtr4g |
|