Step |
Hyp |
Ref |
Expression |
1 |
|
rpcn |
|
2 |
1
|
adantr |
|
3 |
|
rpne0 |
|
4 |
3
|
adantr |
|
5 |
|
simpr |
|
6 |
2 4 5
|
3jca |
|
7 |
|
eldifsn |
|
8 |
|
eldifpr |
|
9 |
6 7 8
|
3imtr4i |
|
10 |
9
|
adantr |
|
11 |
|
simprl |
|
12 |
|
eldifi |
|
13 |
12
|
adantr |
|
14 |
|
simpr |
|
15 |
14
|
adantl |
|
16 |
|
relogbmulexp |
|
17 |
10 11 13 15 16
|
syl13anc |
|
18 |
7 6
|
sylbi |
|
19 |
|
logbid1 |
|
20 |
18 19
|
syl |
|
21 |
20
|
adantr |
|
22 |
21
|
oveq2d |
|
23 |
|
ax-1rid |
|
24 |
23
|
adantl |
|
25 |
24
|
adantl |
|
26 |
22 25
|
eqtrd |
|
27 |
26
|
oveq2d |
|
28 |
17 27
|
eqtrd |
|