Step |
Hyp |
Ref |
Expression |
1 |
|
2rp |
|
2 |
|
pirp |
|
3 |
|
rpmulcl |
|
4 |
1 2 3
|
mp2an |
|
5 |
|
rpre |
|
6 |
4 5
|
ax-mp |
|
7 |
6
|
recni |
|
8 |
|
rpgt0 |
|
9 |
4 8
|
ax-mp |
|
10 |
6 9
|
gt0ne0ii |
|
11 |
7 10
|
dividi |
|
12 |
|
rpdivcl |
|
13 |
12
|
rpgt0d |
|
14 |
4 13
|
mpan2 |
|
15 |
14
|
adantr |
|
16 |
|
rpcn |
|
17 |
|
coseq1 |
|
18 |
16 17
|
syl |
|
19 |
18
|
biimpa |
|
20 |
|
zgt0ge1 |
|
21 |
19 20
|
syl |
|
22 |
15 21
|
mpbid |
|
23 |
11 22
|
eqbrtrid |
|
24 |
|
rpre |
|
25 |
24
|
adantr |
|
26 |
6 9
|
pm3.2i |
|
27 |
|
lediv1 |
|
28 |
6 26 27
|
mp3an13 |
|
29 |
25 28
|
syl |
|
30 |
23 29
|
mpbird |
|