Step |
Hyp |
Ref |
Expression |
1 |
|
zcn |
|
2 |
1
|
adantl |
|
3 |
|
ax-1cn |
|
4 |
|
negsub |
|
5 |
2 3 4
|
sylancl |
|
6 |
5
|
eqcomd |
|
7 |
6
|
oveq2d |
|
8 |
|
neg1z |
|
9 |
|
rmyadd |
|
10 |
8 9
|
mp3an3 |
|
11 |
|
1z |
|
12 |
|
rmxneg |
|
13 |
11 12
|
mpan2 |
|
14 |
|
rmx1 |
|
15 |
13 14
|
eqtrd |
|
16 |
15
|
adantr |
|
17 |
16
|
oveq2d |
|
18 |
|
rmyneg |
|
19 |
11 18
|
mpan2 |
|
20 |
|
rmy1 |
|
21 |
20
|
negeqd |
|
22 |
19 21
|
eqtrd |
|
23 |
22
|
adantr |
|
24 |
23
|
oveq2d |
|
25 |
|
frmx |
|
26 |
25
|
fovcl |
|
27 |
26
|
nn0cnd |
|
28 |
|
neg1cn |
|
29 |
|
mulcom |
|
30 |
27 28 29
|
sylancl |
|
31 |
27
|
mulm1d |
|
32 |
24 30 31
|
3eqtrd |
|
33 |
17 32
|
oveq12d |
|
34 |
|
frmy |
|
35 |
34
|
fovcl |
|
36 |
35
|
zcnd |
|
37 |
|
eluzelcn |
|
38 |
37
|
adantr |
|
39 |
36 38
|
mulcld |
|
40 |
39 27
|
negsubd |
|
41 |
33 40
|
eqtrd |
|
42 |
7 10 41
|
3eqtrd |
|