Step |
Hyp |
Ref |
Expression |
1 |
|
rhmpsrlem1.d |
|
2 |
|
rhmpsrlem1.r |
|
3 |
|
rhmpsrlem1.x |
|
4 |
|
rhmpsrlem1.y |
|
5 |
|
eqid |
|
6 |
|
eqid |
|
7 |
2
|
ringcmnd |
|
8 |
7
|
adantr |
|
9 |
1
|
psrbaglefi |
|
10 |
9
|
adantl |
|
11 |
|
eqid |
|
12 |
2
|
ad2antrr |
|
13 |
3
|
ad2antrr |
|
14 |
|
breq1 |
|
15 |
14
|
elrab |
|
16 |
15
|
biimpi |
|
17 |
16
|
adantl |
|
18 |
17
|
simpld |
|
19 |
13 18
|
ffvelcdmd |
|
20 |
4
|
ad2antrr |
|
21 |
|
simplr |
|
22 |
1
|
psrbagf |
|
23 |
18 22
|
syl |
|
24 |
17
|
simprd |
|
25 |
1
|
psrbagcon |
|
26 |
21 23 24 25
|
syl3anc |
|
27 |
26
|
simpld |
|
28 |
20 27
|
ffvelcdmd |
|
29 |
5 11 12 19 28
|
ringcld |
|
30 |
29
|
fmpttd |
|
31 |
1 2 3 4
|
rhmpsrlem1 |
|
32 |
5 6 8 10 30 31
|
gsumcl |
|