Step |
Hyp |
Ref |
Expression |
1 |
|
onfin2 |
|
2 |
|
inss2 |
|
3 |
1 2
|
eqsstri |
|
4 |
|
2onn |
|
5 |
3 4
|
sselii |
|
6 |
|
sdomdom |
|
7 |
|
domfi |
|
8 |
5 6 7
|
sylancr |
|
9 |
|
id |
|
10 |
|
0fin |
|
11 |
9 10
|
eqeltrdi |
|
12 |
|
1onn |
|
13 |
3 12
|
sselii |
|
14 |
|
enfi |
|
15 |
13 14
|
mpbiri |
|
16 |
11 15
|
jaoi |
|
17 |
|
df2o3 |
|
18 |
17
|
eleq2i |
|
19 |
|
fvex |
|
20 |
19
|
elpr |
|
21 |
18 20
|
bitri |
|
22 |
21
|
a1i |
|
23 |
|
cardnn |
|
24 |
4 23
|
ax-mp |
|
25 |
24
|
eleq2i |
|
26 |
|
finnum |
|
27 |
|
2on |
|
28 |
|
onenon |
|
29 |
27 28
|
ax-mp |
|
30 |
|
cardsdom2 |
|
31 |
26 29 30
|
sylancl |
|
32 |
25 31
|
bitr3id |
|
33 |
|
cardnueq0 |
|
34 |
26 33
|
syl |
|
35 |
|
cardnn |
|
36 |
12 35
|
ax-mp |
|
37 |
36
|
eqeq2i |
|
38 |
|
finnum |
|
39 |
13 38
|
ax-mp |
|
40 |
|
carden2 |
|
41 |
26 39 40
|
sylancl |
|
42 |
37 41
|
bitr3id |
|
43 |
34 42
|
orbi12d |
|
44 |
22 32 43
|
3bitr3d |
|
45 |
8 16 44
|
pm5.21nii |
|