Step |
Hyp |
Ref |
Expression |
1 |
|
eldifsn |
|
2 |
|
rpcn |
|
3 |
2
|
adantr |
|
4 |
|
rpne0 |
|
5 |
4
|
adantr |
|
6 |
|
simpr |
|
7 |
3 5 6
|
3jca |
|
8 |
1 7
|
sylbi |
|
9 |
|
eldifpr |
|
10 |
8 9
|
sylibr |
|
11 |
10
|
adantr |
|
12 |
|
simpr |
|
13 |
|
eldifi |
|
14 |
13
|
adantr |
|
15 |
|
relogbdiv |
|
16 |
11 12 14 15
|
syl12anc |
|
17 |
|
logbid1 |
|
18 |
8 17
|
syl |
|
19 |
18
|
adantr |
|
20 |
19
|
oveq2d |
|
21 |
16 20
|
eqtrd |
|