Step |
Hyp |
Ref |
Expression |
1 |
|
simpr |
|
2 |
|
f1f |
|
3 |
2
|
adantl |
|
4 |
3
|
ffnd |
|
5 |
|
simpll |
|
6 |
3
|
frnd |
|
7 |
|
df-pss |
|
8 |
7
|
baib |
|
9 |
6 8
|
syl |
|
10 |
|
php3 |
|
11 |
10
|
ex |
|
12 |
11
|
ad2antlr |
|
13 |
|
enfii |
|
14 |
13
|
ancoms |
|
15 |
|
f1f1orn |
|
16 |
|
f1oenfi |
|
17 |
14 15 16
|
syl2an |
|
18 |
|
endom |
|
19 |
|
domsdomtrfi |
|
20 |
18 19
|
syl3an2 |
|
21 |
20
|
3expia |
|
22 |
14 17 21
|
syl2an2r |
|
23 |
12 22
|
syld |
|
24 |
|
sdomnen |
|
25 |
23 24
|
syl6 |
|
26 |
9 25
|
sylbird |
|
27 |
26
|
necon4ad |
|
28 |
5 27
|
mpd |
|
29 |
|
df-fo |
|
30 |
4 28 29
|
sylanbrc |
|
31 |
|
df-f1o |
|
32 |
1 30 31
|
sylanbrc |
|
33 |
32
|
ex |
|
34 |
|
f1of1 |
|
35 |
33 34
|
impbid1 |
|