Step |
Hyp |
Ref |
Expression |
1 |
|
elbigo |
|
2 |
|
df-3an |
|
3 |
1 2
|
bitri |
|
4 |
|
reex |
|
5 |
4 4
|
pm3.2i |
|
6 |
5
|
a1i |
|
7 |
|
simpl |
|
8 |
7
|
adantl |
|
9 |
|
sstr2 |
|
10 |
9
|
adantld |
|
11 |
10
|
adantl |
|
12 |
11
|
impcom |
|
13 |
|
elpm2r |
|
14 |
6 8 12 13
|
syl12anc |
|
15 |
|
simpl |
|
16 |
|
elpm2r |
|
17 |
6 15 16
|
syl2anc |
|
18 |
|
ibar |
|
19 |
18
|
bicomd |
|
20 |
14 17 19
|
syl2anc |
|
21 |
3 20
|
syl5bb |
|
22 |
|
elin |
|
23 |
|
fdm |
|
24 |
23
|
ad2antrl |
|
25 |
24
|
ad2antrr |
|
26 |
25
|
eleq2d |
|
27 |
26
|
anbi1d |
|
28 |
|
elicopnf |
|
29 |
28
|
ad3antlr |
|
30 |
12
|
ad2antrr |
|
31 |
30
|
sselda |
|
32 |
31
|
biantrurd |
|
33 |
29 32
|
bitr4d |
|
34 |
33
|
pm5.32da |
|
35 |
27 34
|
bitrd |
|
36 |
22 35
|
syl5bb |
|
37 |
36
|
imbi1d |
|
38 |
|
impexp |
|
39 |
37 38
|
syl6bb |
|
40 |
39
|
ralbidv2 |
|
41 |
40
|
rexbidva |
|
42 |
41
|
rexbidva |
|
43 |
21 42
|
bitrd |
|