Step |
Hyp |
Ref |
Expression |
1 |
|
elnn0 |
|
2 |
|
elnn0 |
|
3 |
|
nnmulcom |
|
4 |
|
nnre |
|
5 |
|
remul02 |
|
6 |
|
remul01 |
|
7 |
5 6
|
eqtr4d |
|
8 |
4 7
|
syl |
|
9 |
|
oveq1 |
|
10 |
|
oveq2 |
|
11 |
9 10
|
eqeq12d |
|
12 |
8 11
|
syl5ibrcom |
|
13 |
12
|
impcom |
|
14 |
3 13
|
jaoian |
|
15 |
2 14
|
sylanb |
|
16 |
|
nn0re |
|
17 |
|
remul01 |
|
18 |
|
remul02 |
|
19 |
17 18
|
eqtr4d |
|
20 |
16 19
|
syl |
|
21 |
|
oveq2 |
|
22 |
|
oveq1 |
|
23 |
21 22
|
eqeq12d |
|
24 |
20 23
|
syl5ibrcom |
|
25 |
24
|
imp |
|
26 |
15 25
|
jaodan |
|
27 |
1 26
|
sylan2b |
|