Step |
Hyp |
Ref |
Expression |
1 |
|
oveq1 |
|
2 |
1
|
oveq1d |
|
3 |
2
|
eqeq2d |
|
4 |
|
zre |
|
5 |
4
|
adantr |
|
6 |
|
rpre |
|
7 |
6
|
adantl |
|
8 |
|
rpne0 |
|
9 |
8
|
adantl |
|
10 |
5 7 9
|
redivcld |
|
11 |
10
|
flcld |
|
12 |
11
|
3adant2 |
|
13 |
|
flpmodeq |
|
14 |
4 13
|
sylan |
|
15 |
14
|
eqcomd |
|
16 |
15
|
3adant2 |
|
17 |
3 12 16
|
rspcedvdw |
|
18 |
|
oveq2 |
|
19 |
18
|
eqeq2d |
|
20 |
19
|
eqcoms |
|
21 |
20
|
rexbidv |
|
22 |
17 21
|
syl5ibrcom |
|
23 |
|
oveq1 |
|
24 |
|
simpr |
|
25 |
|
simpl3 |
|
26 |
|
simpl2 |
|
27 |
|
muladdmodid |
|
28 |
24 25 26 27
|
syl3anc |
|
29 |
23 28
|
sylan9eqr |
|
30 |
29
|
rexlimdva2 |
|
31 |
22 30
|
impbid |
|