| Step |
Hyp |
Ref |
Expression |
| 1 |
|
redvabs.d |
|
| 2 |
|
reelprrecn |
|
| 3 |
2
|
a1i |
|
| 4 |
|
cnelprrecn |
|
| 5 |
4
|
a1i |
|
| 6 |
|
dfrp2 |
|
| 7 |
|
mnfxr |
|
| 8 |
7
|
a1i |
|
| 9 |
|
0xr |
|
| 10 |
9
|
a1i |
|
| 11 |
|
pnfxr |
|
| 12 |
11
|
a1i |
|
| 13 |
8 10 12
|
iocioodisjd |
|
| 14 |
13
|
mptru |
|
| 15 |
14
|
ineqcomi |
|
| 16 |
|
disjdif2 |
|
| 17 |
15 16
|
ax-mp |
|
| 18 |
6 17
|
eqtr4i |
|
| 19 |
|
ioosscn |
|
| 20 |
|
ssdif |
|
| 21 |
19 20
|
ax-mp |
|
| 22 |
18 21
|
eqsstri |
|
| 23 |
1
|
eleq2i |
|
| 24 |
|
eldifsn |
|
| 25 |
23 24
|
bitri |
|
| 26 |
25
|
simplbi |
|
| 27 |
26
|
recnd |
|
| 28 |
27
|
adantl |
|
| 29 |
25
|
simprbi |
|
| 30 |
29
|
adantl |
|
| 31 |
28 30
|
absrpcld |
|
| 32 |
22 31
|
sselid |
|
| 33 |
|
negex |
|
| 34 |
|
1ex |
|
| 35 |
33 34
|
ifex |
|
| 36 |
35
|
a1i |
|
| 37 |
|
eldifi |
|
| 38 |
37
|
adantl |
|
| 39 |
|
eldifn |
|
| 40 |
|
mnflt0 |
|
| 41 |
|
ubioc1 |
|
| 42 |
7 9 40 41
|
mp3an |
|
| 43 |
|
eleq1 |
|
| 44 |
42 43
|
mpbiri |
|
| 45 |
44
|
necon3bi |
|
| 46 |
39 45
|
syl |
|
| 47 |
46
|
adantl |
|
| 48 |
38 47
|
logcld |
|
| 49 |
|
ovexd |
|
| 50 |
1
|
redvmptabs |
|
| 51 |
50
|
a1i |
|
| 52 |
|
logf1o |
|
| 53 |
|
f1of |
|
| 54 |
52 53
|
mp1i |
|
| 55 |
|
eqid |
|
| 56 |
55
|
logdmss |
|
| 57 |
56
|
a1i |
|
| 58 |
54 57
|
feqresmpt |
|
| 59 |
58
|
mptru |
|
| 60 |
59
|
oveq2i |
|
| 61 |
55
|
dvlog |
|
| 62 |
60 61
|
eqtr3i |
|
| 63 |
62
|
a1i |
|
| 64 |
|
fveq2 |
|
| 65 |
|
oveq2 |
|
| 66 |
3 5 32 36 48 49 51 63 64 65
|
dvmptco |
|
| 67 |
66
|
mptru |
|
| 68 |
|
ovif2 |
|
| 69 |
|
simpll |
|
| 70 |
69
|
recnd |
|
| 71 |
70
|
abscld |
|
| 72 |
71
|
recnd |
|
| 73 |
|
simplr |
|
| 74 |
70 73
|
absne0d |
|
| 75 |
72 74
|
reccld |
|
| 76 |
|
neg1cn |
|
| 77 |
76
|
a1i |
|
| 78 |
75 77
|
mulcomd |
|
| 79 |
75
|
mulm1d |
|
| 80 |
|
1cnd |
|
| 81 |
80 72 74
|
divneg2d |
|
| 82 |
|
0red |
|
| 83 |
|
simpr |
|
| 84 |
69 82 83
|
ltled |
|
| 85 |
69 84
|
absnidd |
|
| 86 |
85
|
eqcomd |
|
| 87 |
70 86
|
negcon1ad |
|
| 88 |
87
|
oveq2d |
|
| 89 |
81 88
|
eqtrd |
|
| 90 |
78 79 89
|
3eqtrd |
|
| 91 |
25 90
|
sylanb |
|
| 92 |
|
recn |
|
| 93 |
92
|
abscld |
|
| 94 |
93
|
ad2antrr |
|
| 95 |
92
|
ad2antrr |
|
| 96 |
|
simplr |
|
| 97 |
95 96
|
absne0d |
|
| 98 |
94 97
|
rereccld |
|
| 99 |
98
|
recnd |
|
| 100 |
99
|
mulridd |
|
| 101 |
|
simpll |
|
| 102 |
|
0red |
|
| 103 |
|
simpl |
|
| 104 |
102 103
|
lenltd |
|
| 105 |
104
|
biimpar |
|
| 106 |
101 105
|
absidd |
|
| 107 |
106
|
oveq2d |
|
| 108 |
100 107
|
eqtrd |
|
| 109 |
25 108
|
sylanb |
|
| 110 |
91 109
|
ifeqda |
|
| 111 |
68 110
|
eqtrid |
|
| 112 |
111
|
mpteq2ia |
|
| 113 |
67 112
|
eqtri |
|