Step |
Hyp |
Ref |
Expression |
1 |
|
csbuni |
|
2 |
|
csbab |
|
3 |
|
sbcex2 |
|
4 |
|
sbc3an |
|
5 |
|
sbcg |
|
6 |
|
sbcan |
|
7 |
|
sbcssg |
|
8 |
|
csbconstg |
|
9 |
8
|
sseq1d |
|
10 |
7 9
|
bitrd |
|
11 |
|
sbcralg |
|
12 |
|
sbcssg |
|
13 |
8
|
sseq2d |
|
14 |
|
csbpredg |
|
15 |
|
csbconstg |
|
16 |
|
predeq3 |
|
17 |
15 16
|
syl |
|
18 |
14 17
|
eqtrd |
|
19 |
18
|
sseq1d |
|
20 |
12 13 19
|
3bitrd |
|
21 |
20
|
ralbidv |
|
22 |
11 21
|
bitrd |
|
23 |
10 22
|
anbi12d |
|
24 |
6 23
|
syl5bb |
|
25 |
|
sbcralg |
|
26 |
|
sbceqg |
|
27 |
|
csbconstg |
|
28 |
|
csbfv12 |
|
29 |
|
csbres |
|
30 |
|
csbconstg |
|
31 |
30 18
|
reseq12d |
|
32 |
29 31
|
syl5eq |
|
33 |
32
|
fveq2d |
|
34 |
28 33
|
syl5eq |
|
35 |
27 34
|
eqeq12d |
|
36 |
26 35
|
bitrd |
|
37 |
36
|
ralbidv |
|
38 |
25 37
|
bitrd |
|
39 |
5 24 38
|
3anbi123d |
|
40 |
4 39
|
syl5bb |
|
41 |
40
|
exbidv |
|
42 |
3 41
|
syl5bb |
|
43 |
42
|
abbidv |
|
44 |
2 43
|
syl5eq |
|
45 |
44
|
unieqd |
|
46 |
1 45
|
syl5eq |
|
47 |
|
df-wrecs |
|
48 |
47
|
csbeq2i |
|
49 |
|
df-wrecs |
|
50 |
46 48 49
|
3eqtr4g |
|