Step |
Hyp |
Ref |
Expression |
1 |
|
1re |
|
2 |
|
elicopnf |
|
3 |
1 2
|
ax-mp |
|
4 |
3
|
simplbi |
|
5 |
|
0red |
|
6 |
|
1red |
|
7 |
|
0lt1 |
|
8 |
7
|
a1i |
|
9 |
3
|
simprbi |
|
10 |
5 6 4 8 9
|
ltletrd |
|
11 |
4 10
|
elrpd |
|
12 |
11
|
ssriv |
|
13 |
|
resmpt |
|
14 |
12 13
|
ax-mp |
|
15 |
|
0red |
|
16 |
12
|
a1i |
|
17 |
|
rpre |
|
18 |
17
|
adantl |
|
19 |
|
rpge0 |
|
20 |
19
|
adantl |
|
21 |
|
simpl2 |
|
22 |
|
0red |
|
23 |
|
1red |
|
24 |
7
|
a1i |
|
25 |
|
simpl3 |
|
26 |
22 23 21 24 25
|
lttrd |
|
27 |
21 26
|
elrpd |
|
28 |
27 18
|
rpcxpcld |
|
29 |
|
simp1 |
|
30 |
|
ifcl |
|
31 |
29 1 30
|
sylancl |
|
32 |
|
1red |
|
33 |
7
|
a1i |
|
34 |
|
max1 |
|
35 |
1 29 34
|
sylancr |
|
36 |
15 32 31 33 35
|
ltletrd |
|
37 |
31 36
|
elrpd |
|
38 |
37
|
rprecred |
|
39 |
38
|
adantr |
|
40 |
28 39
|
rpcxpcld |
|
41 |
31
|
recnd |
|
42 |
41
|
adantr |
|
43 |
18 20 40 42
|
divcxpd |
|
44 |
37
|
adantr |
|
45 |
44
|
rpne0d |
|
46 |
42 45
|
recid2d |
|
47 |
46
|
oveq2d |
|
48 |
28 39 42
|
cxpmuld |
|
49 |
28
|
rpcnd |
|
50 |
49
|
cxp1d |
|
51 |
47 48 50
|
3eqtr3d |
|
52 |
51
|
oveq2d |
|
53 |
43 52
|
eqtrd |
|
54 |
53
|
mpteq2dva |
|
55 |
|
ovexd |
|
56 |
18
|
recnd |
|
57 |
38
|
recnd |
|
58 |
57
|
adantr |
|
59 |
56 58
|
mulcomd |
|
60 |
59
|
oveq2d |
|
61 |
27 18 58
|
cxpmuld |
|
62 |
27 39 56
|
cxpmuld |
|
63 |
60 61 62
|
3eqtr3d |
|
64 |
63
|
oveq2d |
|
65 |
64
|
mpteq2dva |
|
66 |
|
simp2 |
|
67 |
|
simp3 |
|
68 |
15 32 66 33 67
|
lttrd |
|
69 |
66 68
|
elrpd |
|
70 |
69 38
|
rpcxpcld |
|
71 |
70
|
rpred |
|
72 |
57
|
1cxpd |
|
73 |
|
0le1 |
|
74 |
73
|
a1i |
|
75 |
69
|
rpge0d |
|
76 |
37
|
rpreccld |
|
77 |
32 74 66 75 76
|
cxplt2d |
|
78 |
67 77
|
mpbid |
|
79 |
72 78
|
eqbrtrrd |
|
80 |
|
cxp2limlem |
|
81 |
71 79 80
|
syl2anc |
|
82 |
65 81
|
eqbrtrd |
|
83 |
55 82 37
|
rlimcxp |
|
84 |
54 83
|
eqbrtrrd |
|
85 |
16 84
|
rlimres2 |
|
86 |
|
simpr |
|
87 |
31
|
adantr |
|
88 |
86 87
|
rpcxpcld |
|
89 |
88 28
|
rpdivcld |
|
90 |
89
|
rpred |
|
91 |
11 90
|
sylan2 |
|
92 |
|
simpl1 |
|
93 |
86 92
|
rpcxpcld |
|
94 |
93 28
|
rpdivcld |
|
95 |
11 94
|
sylan2 |
|
96 |
95
|
rpred |
|
97 |
11 93
|
sylan2 |
|
98 |
97
|
rpred |
|
99 |
11 88
|
sylan2 |
|
100 |
99
|
rpred |
|
101 |
11 28
|
sylan2 |
|
102 |
4
|
adantl |
|
103 |
9
|
adantl |
|
104 |
|
simpl1 |
|
105 |
31
|
adantr |
|
106 |
|
max2 |
|
107 |
1 104 106
|
sylancr |
|
108 |
102 103 104 105 107
|
cxplead |
|
109 |
98 100 101 108
|
lediv1dd |
|
110 |
109
|
adantrr |
|
111 |
95
|
rpge0d |
|
112 |
111
|
adantrr |
|
113 |
15 15 85 91 96 110 112
|
rlimsqz2 |
|
114 |
14 113
|
eqbrtrid |
|
115 |
94
|
rpcnd |
|
116 |
115
|
fmpttd |
|
117 |
|
rpssre |
|
118 |
117
|
a1i |
|
119 |
116 118 32
|
rlimresb |
|
120 |
114 119
|
mpbird |
|