Step |
Hyp |
Ref |
Expression |
1 |
|
ax-1ne0 |
|
2 |
|
1re |
|
3 |
|
0re |
|
4 |
2 3
|
lttri2i |
|
5 |
1 4
|
mpbi |
|
6 |
|
rernegcl |
|
7 |
2 6
|
ax-mp |
|
8 |
7
|
a1i |
|
9 |
|
relt0neg1 |
|
10 |
2 9
|
ax-mp |
|
11 |
10
|
biimpi |
|
12 |
8 8 11 11
|
mulgt0d |
|
13 |
|
resubdi |
|
14 |
7 3 2 13
|
mp3an |
|
15 |
|
remul01 |
|
16 |
7 15
|
ax-mp |
|
17 |
|
ax-1rid |
|
18 |
7 17
|
ax-mp |
|
19 |
16 18
|
oveq12i |
|
20 |
|
renegneg |
|
21 |
2 20
|
ax-mp |
|
22 |
14 19 21
|
3eqtri |
|
23 |
12 22
|
breqtrdi |
|
24 |
|
id |
|
25 |
23 24
|
jaoi |
|
26 |
5 25
|
ax-mp |
|