Step |
Hyp |
Ref |
Expression |
1 |
|
df-rngisom |
|
2 |
1
|
a1i |
|
3 |
|
oveq12 |
|
4 |
3
|
adantl |
|
5 |
|
oveq12 |
|
6 |
5
|
ancoms |
|
7 |
6
|
adantl |
|
8 |
7
|
eleq2d |
|
9 |
4 8
|
rabeqbidv |
|
10 |
|
elex |
|
11 |
10
|
adantr |
|
12 |
|
elex |
|
13 |
12
|
adantl |
|
14 |
|
ovex |
|
15 |
14
|
rabex |
|
16 |
15
|
a1i |
|
17 |
2 9 11 13 16
|
ovmpod |
|
18 |
17
|
eleq2d |
|
19 |
|
cnveq |
|
20 |
19
|
eleq1d |
|
21 |
20
|
elrab |
|
22 |
18 21
|
syl6bb |
|