Step |
Hyp |
Ref |
Expression |
1 |
|
opabex3.1 |
|
2 |
|
opabex3.2 |
|
3 |
|
19.42v |
|
4 |
|
an12 |
|
5 |
4
|
exbii |
|
6 |
|
elxp |
|
7 |
|
excom |
|
8 |
|
an12 |
|
9 |
|
velsn |
|
10 |
9
|
anbi1i |
|
11 |
8 10
|
bitri |
|
12 |
11
|
exbii |
|
13 |
|
opeq1 |
|
14 |
13
|
eqeq2d |
|
15 |
14
|
anbi1d |
|
16 |
15
|
equsexvw |
|
17 |
12 16
|
bitri |
|
18 |
17
|
exbii |
|
19 |
7 18
|
bitri |
|
20 |
|
nfv |
|
21 |
|
nfsab1 |
|
22 |
20 21
|
nfan |
|
23 |
|
nfv |
|
24 |
|
opeq2 |
|
25 |
24
|
eqeq2d |
|
26 |
|
df-clab |
|
27 |
|
sbequ12 |
|
28 |
27
|
equcoms |
|
29 |
26 28
|
bitr4id |
|
30 |
25 29
|
anbi12d |
|
31 |
22 23 30
|
cbvexv1 |
|
32 |
6 19 31
|
3bitri |
|
33 |
32
|
anbi2i |
|
34 |
3 5 33
|
3bitr4ri |
|
35 |
34
|
exbii |
|
36 |
|
eliun |
|
37 |
|
df-rex |
|
38 |
36 37
|
bitri |
|
39 |
|
elopab |
|
40 |
35 38 39
|
3bitr4i |
|
41 |
40
|
eqriv |
|
42 |
|
snex |
|
43 |
|
xpexg |
|
44 |
42 2 43
|
sylancr |
|
45 |
44
|
rgen |
|
46 |
|
iunexg |
|
47 |
1 45 46
|
mp2an |
|
48 |
41 47
|
eqeltrri |
|