Step |
Hyp |
Ref |
Expression |
1 |
|
df-ismty |
|
2 |
1
|
a1i |
|
3 |
|
dmeq |
|
4 |
|
xmetf |
|
5 |
4
|
fdmd |
|
6 |
3 5
|
sylan9eqr |
|
7 |
6
|
ad2ant2r |
|
8 |
7
|
dmeqd |
|
9 |
|
dmxpid |
|
10 |
8 9
|
eqtrdi |
|
11 |
10
|
f1oeq2d |
|
12 |
|
dmeq |
|
13 |
|
xmetf |
|
14 |
13
|
fdmd |
|
15 |
12 14
|
sylan9eqr |
|
16 |
15
|
ad2ant2l |
|
17 |
16
|
dmeqd |
|
18 |
|
dmxpid |
|
19 |
17 18
|
eqtrdi |
|
20 |
|
f1oeq3 |
|
21 |
19 20
|
syl |
|
22 |
11 21
|
bitrd |
|
23 |
|
oveq |
|
24 |
|
oveq |
|
25 |
23 24
|
eqeqan12d |
|
26 |
25
|
adantl |
|
27 |
10 26
|
raleqbidv |
|
28 |
10 27
|
raleqbidv |
|
29 |
22 28
|
anbi12d |
|
30 |
29
|
abbidv |
|
31 |
|
fvssunirn |
|
32 |
|
simpl |
|
33 |
31 32
|
sseldi |
|
34 |
|
fvssunirn |
|
35 |
|
simpr |
|
36 |
34 35
|
sseldi |
|
37 |
|
f1of |
|
38 |
37
|
adantr |
|
39 |
|
elfvdm |
|
40 |
|
elfvdm |
|
41 |
|
elmapg |
|
42 |
39 40 41
|
syl2anr |
|
43 |
38 42
|
syl5ibr |
|
44 |
43
|
abssdv |
|
45 |
|
ovex |
|
46 |
45
|
ssex |
|
47 |
44 46
|
syl |
|
48 |
2 30 33 36 47
|
ovmpod |
|