Step |
Hyp |
Ref |
Expression |
1 |
|
rpcndif0 |
|
2 |
1
|
adantl |
|
3 |
|
rpcn |
|
4 |
3
|
adantr |
|
5 |
|
rpne0 |
|
6 |
5
|
adantr |
|
7 |
|
animorr |
|
8 |
|
rpre |
|
9 |
|
1red |
|
10 |
|
lttri2 |
|
11 |
8 9 10
|
syl2an |
|
12 |
7 11
|
mpbird |
|
13 |
4 6 12
|
3jca |
|
14 |
|
logbmpt |
|
15 |
13 14
|
syl |
|
16 |
15
|
dmeqd |
|
17 |
|
ovexd |
|
18 |
17
|
ralrimiva |
|
19 |
|
dmmptg |
|
20 |
18 19
|
syl |
|
21 |
16 20
|
eqtrd |
|
22 |
21
|
adantr |
|
23 |
2 22
|
eleqtrrd |
|
24 |
|
logbfval |
|
25 |
13 1 24
|
syl2an |
|
26 |
|
simpll |
|
27 |
|
simpr |
|
28 |
12
|
adantr |
|
29 |
26 27 28
|
3jca |
|
30 |
|
relogbcl |
|
31 |
29 30
|
syl |
|
32 |
25 31
|
eqeltrd |
|
33 |
23 32
|
jca |
|
34 |
33
|
ralrimiva |
|
35 |
|
logbf |
|
36 |
13 35
|
syl |
|
37 |
|
ffun |
|
38 |
|
ffvresb |
|
39 |
36 37 38
|
3syl |
|
40 |
34 39
|
mpbird |
|