Step |
Hyp |
Ref |
Expression |
1 |
|
0le0 |
|
2 |
|
2cn |
|
3 |
|
2ne0 |
|
4 |
|
1ne2 |
|
5 |
4
|
necomi |
|
6 |
|
logb1 |
|
7 |
2 3 5 6
|
mp3an |
|
8 |
1 7
|
breqtrri |
|
9 |
|
0lt1 |
|
10 |
7 9
|
eqbrtri |
|
11 |
8 10
|
pm3.2i |
|
12 |
|
oveq2 |
|
13 |
12
|
breq2d |
|
14 |
12
|
breq1d |
|
15 |
13 14
|
anbi12d |
|
16 |
11 15
|
mpbiri |
|
17 |
|
2z |
|
18 |
|
uzid |
|
19 |
17 18
|
ax-mp |
|
20 |
19
|
a1i |
|
21 |
|
nnrp |
|
22 |
|
logbge0b |
|
23 |
20 21 22
|
syl2anc |
|
24 |
|
logblt1b |
|
25 |
20 21 24
|
syl2anc |
|
26 |
23 25
|
anbi12d |
|
27 |
|
df-2 |
|
28 |
27
|
breq2i |
|
29 |
28
|
a1i |
|
30 |
29
|
anbi2d |
|
31 |
|
nnre |
|
32 |
|
1zzd |
|
33 |
|
flbi |
|
34 |
31 32 33
|
syl2anc |
|
35 |
30 34
|
bitr4d |
|
36 |
|
nnz |
|
37 |
|
flid |
|
38 |
36 37
|
syl |
|
39 |
38
|
eqcomd |
|
40 |
39
|
adantr |
|
41 |
|
simpr |
|
42 |
40 41
|
eqtrd |
|
43 |
42
|
ex |
|
44 |
35 43
|
sylbid |
|
45 |
26 44
|
sylbid |
|
46 |
16 45
|
impbid2 |
|