Step |
Hyp |
Ref |
Expression |
1 |
|
cnre |
|
2 |
|
1cnd |
|
3 |
|
recn |
|
4 |
3
|
adantr |
|
5 |
|
ax-icn |
|
6 |
5
|
a1i |
|
7 |
|
recn |
|
8 |
7
|
adantl |
|
9 |
6 8
|
mulcld |
|
10 |
2 4 9
|
adddid |
|
11 |
|
remulid2 |
|
12 |
11
|
adantr |
|
13 |
2 6 8
|
mulassd |
|
14 |
|
sn-1ticom |
|
15 |
14
|
oveq1i |
|
16 |
15
|
a1i |
|
17 |
6 2 8
|
mulassd |
|
18 |
|
remulid2 |
|
19 |
18
|
adantl |
|
20 |
19
|
oveq2d |
|
21 |
16 17 20
|
3eqtrd |
|
22 |
13 21
|
eqtr3d |
|
23 |
12 22
|
oveq12d |
|
24 |
10 23
|
eqtrd |
|
25 |
|
oveq2 |
|
26 |
|
id |
|
27 |
25 26
|
eqeq12d |
|
28 |
24 27
|
syl5ibrcom |
|
29 |
28
|
rexlimivv |
|
30 |
1 29
|
syl |
|