Step |
Hyp |
Ref |
Expression |
1 |
|
imassrn |
|
2 |
|
dfdm4 |
|
3 |
|
fof |
|
4 |
3
|
fdmd |
|
5 |
2 4
|
syl5eqr |
|
6 |
1 5
|
sseqtrid |
|
7 |
6
|
adantl |
|
8 |
|
cnvexg |
|
9 |
8
|
adantr |
|
10 |
|
imaexg |
|
11 |
|
elpwg |
|
12 |
9 10 11
|
3syl |
|
13 |
7 12
|
mpbird |
|
14 |
13
|
a1d |
|
15 |
|
imaeq2 |
|
16 |
15
|
adantl |
|
17 |
|
simpllr |
|
18 |
|
simplrl |
|
19 |
18
|
elpwid |
|
20 |
|
foimacnv |
|
21 |
17 19 20
|
syl2anc |
|
22 |
|
simplrr |
|
23 |
22
|
elpwid |
|
24 |
|
foimacnv |
|
25 |
17 23 24
|
syl2anc |
|
26 |
16 21 25
|
3eqtr3d |
|
27 |
26
|
ex |
|
28 |
|
imaeq2 |
|
29 |
27 28
|
impbid1 |
|
30 |
29
|
ex |
|
31 |
|
rnexg |
|
32 |
|
forn |
|
33 |
32
|
eleq1d |
|
34 |
31 33
|
syl5ibcom |
|
35 |
34
|
imp |
|
36 |
35
|
pwexd |
|
37 |
|
dmfex |
|
38 |
3 37
|
sylan2 |
|
39 |
38
|
pwexd |
|
40 |
14 30 36 39
|
dom3d |
|