Step |
Hyp |
Ref |
Expression |
1 |
|
frege133.x |
|
2 |
|
frege133.y |
|
3 |
|
frege133.m |
|
4 |
|
frege133.r |
|
5 |
|
fvex |
|
6 |
5
|
cnvex |
|
7 |
|
imaexg |
|
8 |
6 7
|
ax-mp |
|
9 |
|
imaundir |
|
10 |
|
imaexg |
|
11 |
5 10
|
ax-mp |
|
12 |
|
imai |
|
13 |
|
snex |
|
14 |
12 13
|
eqeltri |
|
15 |
11 14
|
unex |
|
16 |
9 15
|
eqeltri |
|
17 |
1 2 4 8 16
|
frege83 |
|
18 |
3
|
elexi |
|
19 |
1
|
elexi |
|
20 |
18 19
|
elimasn |
|
21 |
|
df-br |
|
22 |
18 19
|
brcnv |
|
23 |
20 21 22
|
3bitr2i |
|
24 |
|
elun |
|
25 |
|
df-or |
|
26 |
2
|
elexi |
|
27 |
18 26
|
elimasn |
|
28 |
|
df-br |
|
29 |
18 26
|
brcnv |
|
30 |
27 28 29
|
3bitr2i |
|
31 |
30
|
notbii |
|
32 |
18 26
|
elimasn |
|
33 |
|
df-br |
|
34 |
32 33
|
bitr4i |
|
35 |
31 34
|
imbi12i |
|
36 |
24 25 35
|
3bitri |
|
37 |
36
|
imbi2i |
|
38 |
23 37
|
imbi12i |
|
39 |
38
|
imbi2i |
|
40 |
3 4
|
frege132 |
|
41 |
39 40
|
sylbi |
|
42 |
17 41
|
ax-mp |
|