Step |
Hyp |
Ref |
Expression |
1 |
|
isismty |
|
2 |
1
|
biimp3a |
|
3 |
2
|
simpld |
|
4 |
|
f1ocnv |
|
5 |
|
f1of |
|
6 |
3 4 5
|
3syl |
|
7 |
6
|
ffvelrnda |
|
8 |
|
oveq1 |
|
9 |
8
|
eqeq2d |
|
10 |
9
|
rexbidv |
|
11 |
10
|
rspcv |
|
12 |
7 11
|
syl |
|
13 |
|
imaeq2 |
|
14 |
|
f1ofo |
|
15 |
|
foima |
|
16 |
3 14 15
|
3syl |
|
17 |
16
|
adantr |
|
18 |
|
rpxr |
|
19 |
18
|
adantl |
|
20 |
7 19
|
anim12dan |
|
21 |
|
ismtyima |
|
22 |
20 21
|
syldan |
|
23 |
|
simpl |
|
24 |
|
f1ocnvfv2 |
|
25 |
3 23 24
|
syl2an |
|
26 |
25
|
oveq1d |
|
27 |
22 26
|
eqtrd |
|
28 |
17 27
|
eqeq12d |
|
29 |
13 28
|
syl5ib |
|
30 |
29
|
anassrs |
|
31 |
30
|
reximdva |
|
32 |
12 31
|
syld |
|
33 |
32
|
ralrimdva |
|
34 |
|
simp2 |
|
35 |
33 34
|
jctild |
|
36 |
35
|
3expib |
|
37 |
36
|
com12 |
|
38 |
37
|
impd |
|
39 |
|
isbndx |
|
40 |
|
isbndx |
|
41 |
38 39 40
|
3imtr4g |
|