Step |
Hyp |
Ref |
Expression |
1 |
|
elnn0 |
|
2 |
|
renegneg |
|
3 |
2
|
oveq1d |
|
4 |
3
|
ad2antrr |
|
5 |
|
rernegcl |
|
6 |
5
|
ad2antrr |
|
7 |
|
simpr |
|
8 |
6 7
|
renegmulnnass |
|
9 |
|
nnmulcom |
|
10 |
9
|
adantll |
|
11 |
10
|
oveq2d |
|
12 |
|
nnre |
|
13 |
12
|
adantl |
|
14 |
|
0red |
|
15 |
|
resubdi |
|
16 |
13 14 6 15
|
syl3anc |
|
17 |
|
remul01 |
|
18 |
12 17
|
syl |
|
19 |
18
|
adantl |
|
20 |
19
|
oveq1d |
|
21 |
16 20
|
eqtrd |
|
22 |
2
|
ad2antrr |
|
23 |
22
|
oveq2d |
|
24 |
11 21 23
|
3eqtr2d |
|
25 |
8 4 24
|
3eqtr3d |
|
26 |
4 4 25
|
3eqtr3d |
|
27 |
|
remul01 |
|
28 |
|
remul02 |
|
29 |
27 28
|
eqtr4d |
|
30 |
29
|
adantr |
|
31 |
|
oveq2 |
|
32 |
|
oveq1 |
|
33 |
31 32
|
eqeq12d |
|
34 |
30 33
|
syl5ibrcom |
|
35 |
34
|
imp |
|
36 |
26 35
|
jaodan |
|
37 |
1 36
|
sylan2b |
|