Step |
Hyp |
Ref |
Expression |
1 |
|
2nn |
|
2 |
1
|
a1i |
|
3 |
|
blennnelnn |
|
4 |
|
nnm1nn0 |
|
5 |
3 4
|
syl |
|
6 |
|
nnre |
|
7 |
|
nnnn0 |
|
8 |
7
|
nn0ge0d |
|
9 |
|
elrege0 |
|
10 |
6 8 9
|
sylanbrc |
|
11 |
|
nn0digval |
|
12 |
2 5 10 11
|
syl3anc |
|
13 |
|
n2dvds1 |
|
14 |
|
blennn |
|
15 |
14
|
oveq1d |
|
16 |
|
2z |
|
17 |
|
uzid |
|
18 |
16 17
|
ax-mp |
|
19 |
|
nnrp |
|
20 |
|
relogbzcl |
|
21 |
18 19 20
|
sylancr |
|
22 |
21
|
flcld |
|
23 |
22
|
zcnd |
|
24 |
|
pncan1 |
|
25 |
23 24
|
syl |
|
26 |
15 25
|
eqtrd |
|
27 |
26
|
oveq2d |
|
28 |
27
|
oveq2d |
|
29 |
28
|
fveq2d |
|
30 |
|
fldivexpfllog2 |
|
31 |
19 30
|
syl |
|
32 |
29 31
|
eqtrd |
|
33 |
32
|
breq2d |
|
34 |
13 33
|
mtbiri |
|
35 |
|
2re |
|
36 |
35
|
a1i |
|
37 |
36 5
|
reexpcld |
|
38 |
|
2cnd |
|
39 |
|
2ne0 |
|
40 |
39
|
a1i |
|
41 |
5
|
nn0zd |
|
42 |
38 40 41
|
expne0d |
|
43 |
6 37 42
|
redivcld |
|
44 |
43
|
flcld |
|
45 |
|
mod2eq1n2dvds |
|
46 |
44 45
|
syl |
|
47 |
34 46
|
mpbird |
|
48 |
12 47
|
eqtrd |
|