Step |
Hyp |
Ref |
Expression |
1 |
|
imo72b2.1 |
|
2 |
|
imo72b2.2 |
|
3 |
|
imo72b2.4 |
|
4 |
|
imo72b2.5 |
|
5 |
|
imo72b2.6 |
|
6 |
|
imo72b2.7 |
|
7 |
2 3
|
ffvelrnd |
|
8 |
7
|
recnd |
|
9 |
8
|
abscld |
|
10 |
|
1red |
|
11 |
|
simpr |
|
12 |
2
|
adantr |
|
13 |
3
|
adantr |
|
14 |
12 13
|
ffvelrnd |
|
15 |
14
|
recnd |
|
16 |
15
|
abscld |
|
17 |
10
|
adantr |
|
18 |
|
ax-resscn |
|
19 |
|
imaco |
|
20 |
19
|
eqcomi |
|
21 |
|
imassrn |
|
22 |
21
|
a1i |
|
23 |
1
|
adantr |
|
24 |
|
absf |
|
25 |
24
|
a1i |
|
26 |
18
|
a1i |
|
27 |
25 26
|
fssresd |
|
28 |
23 27
|
fco2d |
|
29 |
28
|
frnd |
|
30 |
22 29
|
sstrd |
|
31 |
20 30
|
eqsstrid |
|
32 |
|
0re |
|
33 |
32
|
ne0ii |
|
34 |
33
|
a1i |
|
35 |
34 28
|
wnefimgd |
|
36 |
35
|
necomd |
|
37 |
20
|
a1i |
|
38 |
36 37
|
neeqtrrd |
|
39 |
38
|
necomd |
|
40 |
|
simpr |
|
41 |
40
|
breq2d |
|
42 |
41
|
ralbidv |
|
43 |
1 5
|
extoimad |
|
44 |
43
|
adantr |
|
45 |
17 42 44
|
rspcedvd |
|
46 |
31 39 45
|
suprcld |
|
47 |
18 46
|
sseldi |
|
48 |
18 16
|
sseldi |
|
49 |
47 48
|
mulcomd |
|
50 |
32
|
a1i |
|
51 |
|
0lt1 |
|
52 |
51
|
a1i |
|
53 |
50 17 16 52 11
|
lttrd |
|
54 |
53
|
gt0ne0d |
|
55 |
46 16 54
|
redivcld |
|
56 |
23
|
adantr |
|
57 |
12
|
adantr |
|
58 |
|
simpr |
|
59 |
13
|
adantr |
|
60 |
|
simpr |
|
61 |
60
|
oveq2d |
|
62 |
61
|
fveq2d |
|
63 |
60
|
oveq2d |
|
64 |
63
|
fveq2d |
|
65 |
62 64
|
oveq12d |
|
66 |
60
|
fveq2d |
|
67 |
66
|
oveq2d |
|
68 |
67
|
oveq2d |
|
69 |
65 68
|
eqeq12d |
|
70 |
69
|
ralbidv |
|
71 |
|
ralcom |
|
72 |
71
|
biimpi |
|
73 |
72
|
a1i |
|
74 |
73
|
imp |
|
75 |
4 74
|
mpdan |
|
76 |
70 3 75
|
rspcdvinvd |
|
77 |
76
|
r19.21bi |
|
78 |
77
|
adantlr |
|
79 |
5
|
ad2antrr |
|
80 |
56 57 58 59 78 79
|
imo72b2lem0 |
|
81 |
|
0xr |
|
82 |
81
|
a1i |
|
83 |
|
1xr |
|
84 |
83
|
a1i |
|
85 |
16
|
adantr |
|
86 |
85
|
rexrd |
|
87 |
51
|
a1i |
|
88 |
|
simplr |
|
89 |
82 84 86 87 88
|
xrlttrd |
|
90 |
23
|
ffvelrnda |
|
91 |
90
|
recnd |
|
92 |
91
|
abscld |
|
93 |
46
|
adantr |
|
94 |
80 89 85 92 93
|
lemuldiv3d |
|
95 |
94
|
ralrimiva |
|
96 |
23 55 95
|
imo72b2lem2 |
|
97 |
96 53 16 46 46
|
lemuldiv4d |
|
98 |
49 97
|
eqbrtrrd |
|
99 |
6
|
adantr |
|
100 |
5
|
adantr |
|
101 |
23 99 100
|
imo72b2lem1 |
|
102 |
98 101 46 16 46
|
lemuldiv3d |
|
103 |
26 46
|
sseldd |
|
104 |
101
|
gt0ne0d |
|
105 |
103 104
|
dividd |
|
106 |
105
|
eqcomd |
|
107 |
102 106
|
breqtrrd |
|
108 |
16 17 107
|
lensymd |
|
109 |
11 108
|
pm2.65da |
|
110 |
9 10 109
|
nltled |
|