Step |
Hyp |
Ref |
Expression |
1 |
|
f1ocnv |
|
2 |
1
|
adantr |
|
3 |
|
f1ocnvdm |
|
4 |
3
|
ex |
|
5 |
|
f1ocnvdm |
|
6 |
5
|
ex |
|
7 |
4 6
|
anim12d |
|
8 |
7
|
adantr |
|
9 |
8
|
imdistani |
|
10 |
|
oveq1 |
|
11 |
|
fveq2 |
|
12 |
11
|
oveq1d |
|
13 |
10 12
|
eqeq12d |
|
14 |
|
oveq2 |
|
15 |
|
fveq2 |
|
16 |
15
|
oveq2d |
|
17 |
14 16
|
eqeq12d |
|
18 |
13 17
|
rspc2v |
|
19 |
18
|
impcom |
|
20 |
19
|
adantll |
|
21 |
9 20
|
syl |
|
22 |
|
f1ocnvfv2 |
|
23 |
22
|
adantrr |
|
24 |
|
f1ocnvfv2 |
|
25 |
24
|
adantrl |
|
26 |
23 25
|
oveq12d |
|
27 |
26
|
adantlr |
|
28 |
21 27
|
eqtr2d |
|
29 |
28
|
ralrimivva |
|
30 |
2 29
|
jca |
|
31 |
30
|
a1i |
|
32 |
|
isismty |
|
33 |
|
isismty |
|
34 |
33
|
ancoms |
|
35 |
31 32 34
|
3imtr4d |
|