Step |
Hyp |
Ref |
Expression |
1 |
|
mulsge0d.1 |
|
2 |
|
mulsge0d.2 |
|
3 |
|
mulsge0d.3 |
|
4 |
|
mulsge0d.4 |
|
5 |
|
0sno |
|
6 |
5
|
a1i |
|
7 |
1 2
|
mulscld |
|
8 |
7
|
ad2antrr |
|
9 |
1
|
ad2antrr |
|
10 |
2
|
ad2antrr |
|
11 |
|
simplr |
|
12 |
|
simpr |
|
13 |
9 10 11 12
|
mulsgt0d |
|
14 |
6 8 13
|
sltled |
|
15 |
|
slerflex |
|
16 |
5 15
|
ax-mp |
|
17 |
|
oveq2 |
|
18 |
17
|
adantl |
|
19 |
|
muls01 |
|
20 |
1 19
|
syl |
|
21 |
20
|
adantr |
|
22 |
18 21
|
eqtr3d |
|
23 |
16 22
|
breqtrrid |
|
24 |
23
|
adantlr |
|
25 |
|
sleloe |
|
26 |
5 2 25
|
sylancr |
|
27 |
4 26
|
mpbid |
|
28 |
27
|
adantr |
|
29 |
14 24 28
|
mpjaodan |
|
30 |
|
oveq1 |
|
31 |
30
|
adantl |
|
32 |
|
muls02 |
|
33 |
2 32
|
syl |
|
34 |
33
|
adantr |
|
35 |
31 34
|
eqtr3d |
|
36 |
16 35
|
breqtrrid |
|
37 |
|
sleloe |
|
38 |
5 1 37
|
sylancr |
|
39 |
3 38
|
mpbid |
|
40 |
29 36 39
|
mpjaodan |
|