Step |
Hyp |
Ref |
Expression |
1 |
|
oacomf1o.1 |
|
2 |
|
eqid |
|
3 |
2
|
oacomf1olem |
|
4 |
3
|
simpld |
|
5 |
|
eqid |
|
6 |
5
|
oacomf1olem |
|
7 |
6
|
ancoms |
|
8 |
7
|
simpld |
|
9 |
|
f1ocnv |
|
10 |
8 9
|
syl |
|
11 |
|
incom |
|
12 |
7
|
simprd |
|
13 |
11 12
|
eqtrid |
|
14 |
3
|
simprd |
|
15 |
|
f1oun |
|
16 |
4 10 13 14 15
|
syl22anc |
|
17 |
|
f1oeq1 |
|
18 |
1 17
|
ax-mp |
|
19 |
16 18
|
sylibr |
|
20 |
|
oarec |
|
21 |
20
|
f1oeq2d |
|
22 |
19 21
|
mpbird |
|
23 |
|
oarec |
|
24 |
23
|
ancoms |
|
25 |
|
uncom |
|
26 |
24 25
|
eqtrdi |
|
27 |
26
|
f1oeq3d |
|
28 |
22 27
|
mpbird |
|