Step |
Hyp |
Ref |
Expression |
1 |
|
df-dioph |
|
2 |
1
|
dmmptss |
|
3 |
|
elfvdm |
|
4 |
2 3
|
sselid |
|
5 |
|
fveq2 |
|
6 |
|
eqidd |
|
7 |
|
oveq2 |
|
8 |
7
|
reseq2d |
|
9 |
8
|
eqeq2d |
|
10 |
9
|
anbi1d |
|
11 |
10
|
rexbidv |
|
12 |
11
|
abbidv |
|
13 |
5 6 12
|
mpoeq123dv |
|
14 |
13
|
rneqd |
|
15 |
|
ovex |
|
16 |
15
|
pwex |
|
17 |
|
eqid |
|
18 |
17
|
rnmpo |
|
19 |
|
elmapi |
|
20 |
|
fzss2 |
|
21 |
|
fssres |
|
22 |
19 20 21
|
syl2anr |
|
23 |
|
nn0ex |
|
24 |
|
ovex |
|
25 |
23 24
|
elmap |
|
26 |
22 25
|
sylibr |
|
27 |
|
eleq1 |
|
28 |
27
|
adantr |
|
29 |
26 28
|
syl5ibrcom |
|
30 |
29
|
rexlimdva |
|
31 |
30
|
abssdv |
|
32 |
15
|
elpw2 |
|
33 |
31 32
|
sylibr |
|
34 |
|
eleq1 |
|
35 |
33 34
|
syl5ibrcom |
|
36 |
35
|
rexlimdvw |
|
37 |
36
|
rexlimiv |
|
38 |
37
|
abssi |
|
39 |
18 38
|
eqsstri |
|
40 |
16 39
|
ssexi |
|
41 |
14 1 40
|
fvmpt |
|
42 |
41
|
eleq2d |
|
43 |
|
ovex |
|
44 |
43
|
abrexex |
|
45 |
|
simpl |
|
46 |
45
|
reximi |
|
47 |
46
|
ss2abi |
|
48 |
44 47
|
ssexi |
|
49 |
17 48
|
elrnmpo |
|
50 |
42 49
|
bitrdi |
|
51 |
4 50
|
biadanii |
|