Step |
Hyp |
Ref |
Expression |
1 |
|
dvcncxp1.d |
|
2 |
|
cnelprrecn |
|
3 |
2
|
a1i |
|
4 |
|
difss |
|
5 |
1 4
|
eqsstri |
|
6 |
5
|
sseli |
|
7 |
1
|
logdmn0 |
|
8 |
6 7
|
logcld |
|
9 |
8
|
adantl |
|
10 |
6 7
|
reccld |
|
11 |
10
|
adantl |
|
12 |
|
mulcl |
|
13 |
|
efcl |
|
14 |
12 13
|
syl |
|
15 |
|
ovexd |
|
16 |
1
|
dvlog |
|
17 |
1
|
logcn |
|
18 |
|
cncff |
|
19 |
17 18
|
mp1i |
|
20 |
19
|
feqmptd |
|
21 |
|
fvres |
|
22 |
21
|
mpteq2ia |
|
23 |
20 22
|
eqtrdi |
|
24 |
23
|
oveq2d |
|
25 |
16 24
|
syl5reqr |
|
26 |
|
simpl |
|
27 |
|
efcl |
|
28 |
27
|
adantl |
|
29 |
|
simpr |
|
30 |
|
1cnd |
|
31 |
3
|
dvmptid |
|
32 |
|
id |
|
33 |
3 29 30 31 32
|
dvmptcmul |
|
34 |
|
mulid1 |
|
35 |
34
|
mpteq2dv |
|
36 |
33 35
|
eqtrd |
|
37 |
|
dvef |
|
38 |
|
eff |
|
39 |
38
|
a1i |
|
40 |
39
|
feqmptd |
|
41 |
40
|
oveq2d |
|
42 |
37 41 40
|
3eqtr3a |
|
43 |
|
fveq2 |
|
44 |
3 3 12 26 28 28 36 42 43 43
|
dvmptco |
|
45 |
|
oveq2 |
|
46 |
45
|
fveq2d |
|
47 |
46
|
oveq1d |
|
48 |
3 3 9 11 14 15 25 44 46 47
|
dvmptco |
|
49 |
6
|
adantl |
|
50 |
7
|
adantl |
|
51 |
|
simpl |
|
52 |
49 50 51
|
cxpefd |
|
53 |
52
|
mpteq2dva |
|
54 |
53
|
oveq2d |
|
55 |
|
1cnd |
|
56 |
49 50 51 55
|
cxpsubd |
|
57 |
49
|
cxp1d |
|
58 |
57
|
oveq2d |
|
59 |
49 51
|
cxpcld |
|
60 |
59 49 50
|
divrecd |
|
61 |
56 58 60
|
3eqtrd |
|
62 |
61
|
oveq2d |
|
63 |
51 59 11
|
mul12d |
|
64 |
59 51 11
|
mulassd |
|
65 |
63 64
|
eqtr4d |
|
66 |
52
|
oveq1d |
|
67 |
66
|
oveq1d |
|
68 |
62 65 67
|
3eqtrd |
|
69 |
68
|
mpteq2dva |
|
70 |
48 54 69
|
3eqtr4d |
|