Step |
Hyp |
Ref |
Expression |
1 |
|
0sno |
|
2 |
1
|
a1i |
|
3 |
|
simpll |
|
4 |
|
simprl |
|
5 |
|
simplr |
|
6 |
|
simprr |
|
7 |
2 3 2 4 5 6
|
sltmuld |
|
8 |
|
muls02 |
|
9 |
4 8
|
syl |
|
10 |
|
muls02 |
|
11 |
1 10
|
ax-mp |
|
12 |
11
|
a1i |
|
13 |
9 12
|
oveq12d |
|
14 |
|
subsid |
|
15 |
1 14
|
ax-mp |
|
16 |
13 15
|
eqtrdi |
|
17 |
|
muls01 |
|
18 |
3 17
|
syl |
|
19 |
18
|
oveq2d |
|
20 |
|
mulscl |
|
21 |
20
|
ad2ant2r |
|
22 |
|
subsid1 |
|
23 |
21 22
|
syl |
|
24 |
19 23
|
eqtrd |
|
25 |
7 16 24
|
3brtr3d |
|