Step |
Hyp |
Ref |
Expression |
1 |
|
logdivsum.1 |
|
2 |
|
ioorp |
|
3 |
2
|
eqcomi |
|
4 |
|
nnuz |
|
5 |
|
1zzd |
|
6 |
|
ere |
|
7 |
6
|
a1i |
|
8 |
|
0re |
|
9 |
|
epos |
|
10 |
8 6 9
|
ltleii |
|
11 |
10
|
a1i |
|
12 |
|
1re |
|
13 |
|
addge02 |
|
14 |
12 6 13
|
mp2an |
|
15 |
11 14
|
sylib |
|
16 |
8
|
a1i |
|
17 |
|
relogcl |
|
18 |
17
|
adantl |
|
19 |
18
|
resqcld |
|
20 |
19
|
rehalfcld |
|
21 |
|
rerpdivcl |
|
22 |
17 21
|
mpancom |
|
23 |
22
|
adantl |
|
24 |
|
nnrp |
|
25 |
24 23
|
sylan2 |
|
26 |
|
reelprrecn |
|
27 |
26
|
a1i |
|
28 |
|
cnelprrecn |
|
29 |
28
|
a1i |
|
30 |
18
|
recnd |
|
31 |
|
ovexd |
|
32 |
|
sqcl |
|
33 |
32
|
adantl |
|
34 |
33
|
halfcld |
|
35 |
|
simpr |
|
36 |
|
dvrelog |
|
37 |
|
relogf1o |
|
38 |
|
f1of |
|
39 |
37 38
|
mp1i |
|
40 |
39
|
feqmptd |
|
41 |
|
fvres |
|
42 |
41
|
mpteq2ia |
|
43 |
40 42
|
eqtrdi |
|
44 |
43
|
oveq2d |
|
45 |
36 44
|
syl5reqr |
|
46 |
|
ovexd |
|
47 |
|
2nn |
|
48 |
|
dvexp |
|
49 |
47 48
|
mp1i |
|
50 |
|
2m1e1 |
|
51 |
50
|
oveq2i |
|
52 |
|
exp1 |
|
53 |
52
|
adantl |
|
54 |
51 53
|
syl5eq |
|
55 |
54
|
oveq2d |
|
56 |
55
|
mpteq2dva |
|
57 |
49 56
|
eqtrd |
|
58 |
|
2cnd |
|
59 |
|
2ne0 |
|
60 |
59
|
a1i |
|
61 |
29 33 46 57 58 60
|
dvmptdivc |
|
62 |
|
2cn |
|
63 |
|
divcan3 |
|
64 |
62 59 63
|
mp3an23 |
|
65 |
64
|
adantl |
|
66 |
65
|
mpteq2dva |
|
67 |
61 66
|
eqtrd |
|
68 |
|
oveq1 |
|
69 |
68
|
oveq1d |
|
70 |
|
id |
|
71 |
27 29 30 31 34 35 45 67 69 70
|
dvmptco |
|
72 |
|
rpcn |
|
73 |
72
|
adantl |
|
74 |
|
rpne0 |
|
75 |
74
|
adantl |
|
76 |
30 73 75
|
divrecd |
|
77 |
76
|
mpteq2dva |
|
78 |
71 77
|
eqtr4d |
|
79 |
|
fveq2 |
|
80 |
|
id |
|
81 |
79 80
|
oveq12d |
|
82 |
|
simp3r |
|
83 |
|
simp2l |
|
84 |
83
|
rpred |
|
85 |
|
simp3l |
|
86 |
|
simp2r |
|
87 |
86
|
rpred |
|
88 |
6
|
a1i |
|
89 |
88 84 87 85 82
|
letrd |
|
90 |
|
logdivle |
|
91 |
84 85 87 89 90
|
syl22anc |
|
92 |
82 91
|
mpbid |
|
93 |
72
|
cxp1d |
|
94 |
93
|
oveq2d |
|
95 |
94
|
mpteq2ia |
|
96 |
|
1rp |
|
97 |
|
cxploglim |
|
98 |
96 97
|
mp1i |
|
99 |
95 98
|
eqbrtrrid |
|
100 |
|
fveq2 |
|
101 |
|
id |
|
102 |
100 101
|
oveq12d |
|
103 |
3 4 5 7 15 16 20 23 25 78 81 92 1 99 102
|
dvfsumrlim3 |
|
104 |
103
|
mptru |
|