Step |
Hyp |
Ref |
Expression |
1 |
|
eluni |
|
2 |
1
|
anbi2i |
|
3 |
2
|
exbii |
|
4 |
|
19.42v |
|
5 |
4
|
bicomi |
|
6 |
5
|
exbii |
|
7 |
|
excom |
|
8 |
|
anass |
|
9 |
|
ancom |
|
10 |
8 9
|
bitr3i |
|
11 |
10
|
2exbii |
|
12 |
|
exdistr |
|
13 |
7 11 12
|
3bitri |
|
14 |
|
eluni |
|
15 |
14
|
bicomi |
|
16 |
15
|
anbi2i |
|
17 |
16
|
exbii |
|
18 |
6 13 17
|
3bitri |
|
19 |
|
vuniex |
|
20 |
|
eleq2 |
|
21 |
19 20
|
ceqsexv |
|
22 |
|
exancom |
|
23 |
21 22
|
bitr3i |
|
24 |
23
|
anbi2i |
|
25 |
|
19.42v |
|
26 |
|
ancom |
|
27 |
|
anass |
|
28 |
26 27
|
bitri |
|
29 |
28
|
exbii |
|
30 |
24 25 29
|
3bitr2i |
|
31 |
30
|
exbii |
|
32 |
|
excom |
|
33 |
|
exdistr |
|
34 |
|
vex |
|
35 |
|
eqeq1 |
|
36 |
35
|
anbi1d |
|
37 |
36
|
exbidv |
|
38 |
34 37
|
elab |
|
39 |
38
|
bicomi |
|
40 |
39
|
anbi2i |
|
41 |
40
|
exbii |
|
42 |
33 41
|
bitri |
|
43 |
31 32 42
|
3bitri |
|
44 |
3 18 43
|
3bitri |
|
45 |
44
|
abbii |
|
46 |
|
df-uni |
|
47 |
|
df-uni |
|
48 |
45 46 47
|
3eqtr4i |
|