Step |
Hyp |
Ref |
Expression |
1 |
|
2z |
|
2 |
|
uzid |
|
3 |
1 2
|
ax-mp |
|
4 |
|
relogbzcl |
|
5 |
3 4
|
mpan |
|
6 |
5
|
renegcld |
|
7 |
|
flltp1 |
|
8 |
6 7
|
syl |
|
9 |
|
1z |
|
10 |
|
fladdz |
|
11 |
6 9 10
|
sylancl |
|
12 |
5
|
recnd |
|
13 |
|
ax-1cn |
|
14 |
|
negsubdi |
|
15 |
|
negsubdi2 |
|
16 |
14 15
|
eqtr3d |
|
17 |
12 13 16
|
sylancl |
|
18 |
17
|
fveq2d |
|
19 |
11 18
|
eqtr3d |
|
20 |
8 19
|
breqtrd |
|
21 |
3
|
a1i |
|
22 |
|
2rp |
|
23 |
22
|
a1i |
|
24 |
|
1red |
|
25 |
24 5
|
resubcld |
|
26 |
25
|
flcld |
|
27 |
23 26
|
rpexpcld |
|
28 |
27
|
rpreccld |
|
29 |
|
id |
|
30 |
|
logblt |
|
31 |
21 28 29 30
|
syl3anc |
|
32 |
|
logbrec |
|
33 |
21 27 32
|
syl2anc |
|
34 |
33
|
breq1d |
|
35 |
|
relogbzcl |
|
36 |
21 27 35
|
syl2anc |
|
37 |
|
ltnegcon1 |
|
38 |
36 5 37
|
syl2anc |
|
39 |
31 34 38
|
3bitrd |
|
40 |
|
nnlogbexp |
|
41 |
21 26 40
|
syl2anc |
|
42 |
41
|
breq2d |
|
43 |
39 42
|
bitrd |
|
44 |
20 43
|
mpbird |
|