Step |
Hyp |
Ref |
Expression |
1 |
|
mulgt0con1d.a |
|
2 |
|
mulgt0con1d.b |
|
3 |
|
mulgt0con1d.1 |
|
4 |
|
mulgt0con1d.2 |
|
5 |
1 2
|
remulcld |
|
6 |
1
|
adantr |
|
7 |
2
|
adantr |
|
8 |
|
simpr |
|
9 |
3
|
adantr |
|
10 |
6 7 8 9
|
mulgt0d |
|
11 |
10
|
ex |
|
12 |
|
remul02 |
|
13 |
2 12
|
syl |
|
14 |
|
oveq1 |
|
15 |
14
|
eqeq1d |
|
16 |
13 15
|
syl5ibrcom |
|
17 |
1 5 11 16
|
mulgt0con1dlem |
|
18 |
4 17
|
mpd |
|