Step |
Hyp |
Ref |
Expression |
1 |
|
hashgval.1 |
|
2 |
|
resundir |
|
3 |
|
eqid |
|
4 |
|
eqid |
|
5 |
3 4
|
hashkf |
|
6 |
|
ffn |
|
7 |
|
fnresdm |
|
8 |
5 6 7
|
mp2b |
|
9 |
|
incom |
|
10 |
|
disjdif |
|
11 |
9 10
|
eqtri |
|
12 |
|
pnfex |
|
13 |
12
|
fconst |
|
14 |
|
ffn |
|
15 |
|
fnresdisj |
|
16 |
13 14 15
|
mp2b |
|
17 |
11 16
|
mpbi |
|
18 |
8 17
|
uneq12i |
|
19 |
|
un0 |
|
20 |
18 19
|
eqtri |
|
21 |
2 20
|
eqtri |
|
22 |
|
df-hash |
|
23 |
22
|
reseq1i |
|
24 |
1
|
coeq1i |
|
25 |
21 23 24
|
3eqtr4i |
|
26 |
25
|
fveq1i |
|
27 |
|
cardf2 |
|
28 |
|
ffun |
|
29 |
27 28
|
ax-mp |
|
30 |
|
finnum |
|
31 |
|
fvco |
|
32 |
29 30 31
|
sylancr |
|
33 |
26 32
|
syl5eq |
|
34 |
|
fvres |
|
35 |
33 34
|
eqtr3d |
|