Step |
Hyp |
Ref |
Expression |
1 |
|
fex |
|
2 |
1
|
expcom |
|
3 |
2
|
adantr |
|
4 |
3
|
imp |
|
5 |
|
simplr |
|
6 |
|
suppimacnv |
|
7 |
4 5 6
|
syl2anc |
|
8 |
|
invdif |
|
9 |
8
|
imaeq2i |
|
10 |
|
ffun |
|
11 |
|
inpreima |
|
12 |
10 11
|
syl |
|
13 |
|
cnvimass |
|
14 |
|
fdm |
|
15 |
|
fimacnv |
|
16 |
14 15
|
eqtr4d |
|
17 |
13 16
|
sseqtrid |
|
18 |
|
sseqin2 |
|
19 |
17 18
|
sylib |
|
20 |
12 19
|
eqtrd |
|
21 |
9 20
|
syl5reqr |
|
22 |
21
|
adantl |
|
23 |
7 22
|
eqtrd |
|
24 |
23
|
ex |
|