Step |
Hyp |
Ref |
Expression |
1 |
|
reprval.a |
|
2 |
|
reprval.m |
|
3 |
|
reprval.s |
|
4 |
|
fin |
|
5 |
|
df-f |
|
6 |
|
ffn |
|
7 |
6
|
adantl |
|
8 |
7
|
biantrurd |
|
9 |
8
|
bicomd |
|
10 |
5 9
|
syl5bb |
|
11 |
10
|
pm5.32da |
|
12 |
4 11
|
syl5bb |
|
13 |
|
nnex |
|
14 |
13
|
a1i |
|
15 |
14 1
|
ssexd |
|
16 |
|
inex1g |
|
17 |
15 16
|
syl |
|
18 |
|
ovex |
|
19 |
|
elmapg |
|
20 |
17 18 19
|
sylancl |
|
21 |
|
elmapg |
|
22 |
15 18 21
|
sylancl |
|
23 |
22
|
anbi1d |
|
24 |
12 20 23
|
3bitr4d |
|
25 |
24
|
anbi1d |
|
26 |
|
inss1 |
|
27 |
26 1
|
sstrid |
|
28 |
27 2 3
|
reprval |
|
29 |
28
|
eleq2d |
|
30 |
|
rabid |
|
31 |
29 30
|
syl6bb |
|
32 |
1 2 3
|
reprval |
|
33 |
32
|
eleq2d |
|
34 |
|
rabid |
|
35 |
33 34
|
syl6bb |
|
36 |
35
|
anbi1d |
|
37 |
|
an32 |
|
38 |
36 37
|
syl6bb |
|
39 |
25 31 38
|
3bitr4d |
|