Step |
Hyp |
Ref |
Expression |
1 |
|
rnfi |
|
2 |
|
simpr |
|
3 |
|
f1dm |
|
4 |
|
f1f1orn |
|
5 |
|
eleq1 |
|
6 |
|
f1oeq2 |
|
7 |
5 6
|
anbi12d |
|
8 |
7
|
eqcoms |
|
9 |
8
|
biimpd |
|
10 |
9
|
expcomd |
|
11 |
3 4 10
|
sylc |
|
12 |
11
|
impcom |
|
13 |
12
|
adantr |
|
14 |
|
f1oeng |
|
15 |
13 14
|
syl |
|
16 |
|
enfii |
|
17 |
2 15 16
|
syl2anc |
|
18 |
|
f1fun |
|
19 |
18
|
ad2antlr |
|
20 |
|
fundmfibi |
|
21 |
19 20
|
syl |
|
22 |
17 21
|
mpbird |
|
23 |
22
|
ex |
|
24 |
1 23
|
impbid2 |
|