Step |
Hyp |
Ref |
Expression |
1 |
|
ax-1ne0 |
|
2 |
|
1re |
|
3 |
|
0re |
|
4 |
2 3
|
lttri2i |
|
5 |
1 4
|
mpbi |
|
6 |
|
rernegcl |
|
7 |
2 6
|
mp1i |
|
8 |
|
relt0neg1 |
|
9 |
2 8
|
ax-mp |
|
10 |
9
|
biimpi |
|
11 |
7 7 10 10
|
mulgt0d |
|
12 |
|
1red |
|
13 |
6 12
|
remulneg2d |
|
14 |
|
ax-1rid |
|
15 |
6 14
|
syl |
|
16 |
15
|
oveq2d |
|
17 |
|
renegneg |
|
18 |
13 16 17
|
3eqtrd |
|
19 |
2 18
|
ax-mp |
|
20 |
11 19
|
breqtrdi |
|
21 |
|
id |
|
22 |
20 21
|
jaoi |
|
23 |
5 22
|
ax-mp |
|