Step |
Hyp |
Ref |
Expression |
1 |
|
redvabs.d |
|
2 |
|
reelprrecn |
|
3 |
2
|
a1i |
|
4 |
1
|
eleq2i |
|
5 |
|
eldifsn |
|
6 |
4 5
|
bitri |
|
7 |
6
|
simplbi |
|
8 |
7
|
recnd |
|
9 |
8
|
sqcld |
|
10 |
6
|
simprbi |
|
11 |
|
sqne0 |
|
12 |
8 11
|
syl |
|
13 |
10 12
|
mpbird |
|
14 |
9 13
|
logcld |
|
15 |
14
|
adantl |
|
16 |
|
ovexd |
|
17 |
|
cnelprrecn |
|
18 |
17
|
a1i |
|
19 |
|
incom |
|
20 |
|
dfrp2 |
|
21 |
20
|
ineq2i |
|
22 |
|
mnfxr |
|
23 |
22
|
a1i |
|
24 |
|
0xr |
|
25 |
24
|
a1i |
|
26 |
|
pnfxr |
|
27 |
26
|
a1i |
|
28 |
23 25 27
|
iocioodisjd |
|
29 |
28
|
mptru |
|
30 |
19 21 29
|
3eqtri |
|
31 |
|
disjdif2 |
|
32 |
30 31
|
ax-mp |
|
33 |
|
rpsscn |
|
34 |
|
ssdif |
|
35 |
33 34
|
ax-mp |
|
36 |
32 35
|
eqsstrri |
|
37 |
10
|
adantl |
|
38 |
|
sqn0rp |
|
39 |
7 37 38
|
syl2an2 |
|
40 |
36 39
|
sselid |
|
41 |
|
ovexd |
|
42 |
|
eldifi |
|
43 |
|
eldifn |
|
44 |
|
mnflt0 |
|
45 |
|
0le0 |
|
46 |
|
elioc1 |
|
47 |
22 24 46
|
mp2an |
|
48 |
24 44 45 47
|
mpbir3an |
|
49 |
|
eleq1 |
|
50 |
48 49
|
mpbiri |
|
51 |
50
|
necon3bi |
|
52 |
43 51
|
syl |
|
53 |
42 52
|
logcld |
|
54 |
53
|
adantl |
|
55 |
|
ovexd |
|
56 |
|
recn |
|
57 |
56
|
adantl |
|
58 |
57
|
sqcld |
|
59 |
|
ovexd |
|
60 |
|
eqid |
|
61 |
|
cnopn |
|
62 |
61
|
a1i |
|
63 |
|
ax-resscn |
|
64 |
|
dfss2 |
|
65 |
63 64
|
mpbi |
|
66 |
65
|
a1i |
|
67 |
|
sqcl |
|
68 |
67
|
adantl |
|
69 |
|
ovexd |
|
70 |
|
2nn |
|
71 |
|
dvexp |
|
72 |
70 71
|
mp1i |
|
73 |
60 3 62 66 68 69 72
|
dvmptres3 |
|
74 |
7
|
ssriv |
|
75 |
74
|
a1i |
|
76 |
60
|
tgioo2 |
|
77 |
|
rehaus |
|
78 |
|
0re |
|
79 |
|
uniretop |
|
80 |
79
|
sncld |
|
81 |
77 78 80
|
mp2an |
|
82 |
79
|
cldopn |
|
83 |
81 82
|
ax-mp |
|
84 |
1 83
|
eqeltri |
|
85 |
84
|
a1i |
|
86 |
3 58 59 73 75 76 60 85
|
dvmptres |
|
87 |
|
2m1e1 |
|
88 |
87
|
oveq2i |
|
89 |
8
|
exp1d |
|
90 |
88 89
|
eqtrid |
|
91 |
90
|
oveq2d |
|
92 |
91
|
mpteq2ia |
|
93 |
86 92
|
eqtrdi |
|
94 |
|
logf1o |
|
95 |
|
f1of |
|
96 |
94 95
|
mp1i |
|
97 |
|
snssi |
|
98 |
48 97
|
ax-mp |
|
99 |
|
sscon |
|
100 |
98 99
|
mp1i |
|
101 |
96 100
|
feqresmpt |
|
102 |
101
|
oveq2d |
|
103 |
|
eqid |
|
104 |
103
|
dvlog |
|
105 |
102 104
|
eqtr3di |
|
106 |
|
fveq2 |
|
107 |
|
oveq2 |
|
108 |
3 18 40 41 54 55 93 105 106 107
|
dvmptco |
|
109 |
|
2cnd |
|
110 |
|
2ne0 |
|
111 |
110
|
a1i |
|
112 |
3 15 16 108 109 111
|
dvmptdivc |
|
113 |
112
|
mptru |
|
114 |
7
|
resqcld |
|
115 |
114 13
|
rereccld |
|
116 |
115
|
recnd |
|
117 |
|
2cnd |
|
118 |
116 117 8
|
mul12d |
|
119 |
118
|
oveq1d |
|
120 |
116 8
|
mulcld |
|
121 |
110
|
a1i |
|
122 |
120 117 121
|
divcan3d |
|
123 |
8
|
sqvald |
|
124 |
123
|
oveq2d |
|
125 |
124
|
oveq1d |
|
126 |
8 8 10 10
|
recdiv2d |
|
127 |
126
|
oveq1d |
|
128 |
8 10
|
reccld |
|
129 |
128 8 10
|
divcan1d |
|
130 |
125 127 129
|
3eqtr2d |
|
131 |
119 122 130
|
3eqtrd |
|
132 |
131
|
mpteq2ia |
|
133 |
113 132
|
eqtri |
|