Step |
Hyp |
Ref |
Expression |
1 |
|
0cn |
|
2 |
|
cnre |
|
3 |
|
oveq2 |
|
4 |
|
ax-icn |
|
5 |
4
|
a1i |
|
6 |
|
recn |
|
7 |
|
0cnd |
|
8 |
5 6 7
|
mulassd |
|
9 |
|
remul01 |
|
10 |
9
|
oveq2d |
|
11 |
8 10
|
eqtrd |
|
12 |
11
|
ad2antlr |
|
13 |
|
rernegcl |
|
14 |
13
|
recnd |
|
15 |
14
|
adantr |
|
16 |
|
recn |
|
17 |
16
|
adantr |
|
18 |
5 6
|
mulcld |
|
19 |
18
|
adantl |
|
20 |
15 17 19
|
addassd |
|
21 |
|
renegid2 |
|
22 |
21
|
oveq1d |
|
23 |
|
sn-addid2 |
|
24 |
18 23
|
syl |
|
25 |
22 24
|
sylan9eq |
|
26 |
20 25
|
eqtr3d |
|
27 |
26
|
eqeq2d |
|
28 |
27
|
biimpa |
|
29 |
28
|
oveq1d |
|
30 |
|
elre0re |
|
31 |
13 30
|
readdcld |
|
32 |
31
|
ad2antrr |
|
33 |
|
remul01 |
|
34 |
32 33
|
syl |
|
35 |
29 34
|
eqtr3d |
|
36 |
12 35
|
eqtr3d |
|
37 |
36
|
ex |
|
38 |
3 37
|
syl5 |
|
39 |
38
|
rexlimivv |
|
40 |
1 2 39
|
mp2b |
|