Step |
Hyp |
Ref |
Expression |
1 |
|
fnsnr |
|
2 |
1
|
adantl |
|
3 |
|
fnfun |
|
4 |
|
snidg |
|
5 |
4
|
adantr |
|
6 |
|
fndm |
|
7 |
6
|
adantl |
|
8 |
5 7
|
eleqtrrd |
|
9 |
|
funfvop |
|
10 |
3 8 9
|
syl2an2 |
|
11 |
|
eleq1 |
|
12 |
10 11
|
syl5ibrcom |
|
13 |
2 12
|
impbid |
|
14 |
|
velsn |
|
15 |
13 14
|
bitr4di |
|
16 |
15
|
eqrdv |
|
17 |
16
|
ex |
|
18 |
|
fvex |
|
19 |
|
fnsng |
|
20 |
18 19
|
mpan2 |
|
21 |
|
fneq1 |
|
22 |
20 21
|
syl5ibrcom |
|
23 |
17 22
|
impbid |
|