Step |
Hyp |
Ref |
Expression |
1 |
|
brric |
|
2 |
|
n0 |
|
3 |
1 2
|
bitri |
|
4 |
|
eqid |
|
5 |
|
eqid |
|
6 |
4 5
|
rimf1o |
|
7 |
|
f1ofo |
|
8 |
|
foima |
|
9 |
6 7 8
|
3syl |
|
10 |
9
|
oveq2d |
|
11 |
|
rimrcl2 |
|
12 |
5
|
ressid |
|
13 |
11 12
|
syl |
|
14 |
10 13
|
eqtr2d |
|
15 |
14
|
adantr |
|
16 |
|
eqid |
|
17 |
|
rimrhm |
|
18 |
17
|
adantr |
|
19 |
|
simpr |
|
20 |
19
|
crngringd |
|
21 |
4
|
subrgid |
|
22 |
20 21
|
syl |
|
23 |
16 18 19 22
|
imacrhmcl |
|
24 |
15 23
|
eqeltrd |
|
25 |
24
|
ex |
|
26 |
25
|
exlimiv |
|
27 |
26
|
imp |
|
28 |
3 27
|
sylanb |
|