Step |
Hyp |
Ref |
Expression |
1 |
|
cvmliftlem.1 |
|
2 |
|
cvmliftlem.b |
|
3 |
|
cvmliftlem.x |
|
4 |
|
cvmliftlem.f |
|
5 |
|
cvmliftlem.g |
|
6 |
|
cvmliftlem.p |
|
7 |
|
cvmliftlem.e |
|
8 |
|
cvmliftlem.n |
|
9 |
|
cvmliftlem.t |
|
10 |
|
cvmliftlem.a |
|
11 |
|
cvmliftlem.l |
|
12 |
|
cvmliftlem.q |
|
13 |
|
cvmliftlem5.3 |
|
14 |
|
fzssp1 |
|
15 |
8
|
nncnd |
|
16 |
15
|
adantr |
|
17 |
|
ax-1cn |
|
18 |
|
npcan |
|
19 |
16 17 18
|
sylancl |
|
20 |
19
|
oveq2d |
|
21 |
14 20
|
sseqtrid |
|
22 |
|
simpr |
|
23 |
|
elfzelz |
|
24 |
8
|
nnzd |
|
25 |
|
elfzm1b |
|
26 |
23 24 25
|
syl2anr |
|
27 |
22 26
|
mpbid |
|
28 |
21 27
|
sseldd |
|
29 |
|
elfznn0 |
|
30 |
29
|
adantl |
|
31 |
|
eleq1 |
|
32 |
|
fveq2 |
|
33 |
|
oveq1 |
|
34 |
32 33
|
fveq12d |
|
35 |
|
fvoveq1 |
|
36 |
35
|
sneqd |
|
37 |
36
|
imaeq2d |
|
38 |
34 37
|
eleq12d |
|
39 |
31 38
|
imbi12d |
|
40 |
39
|
imbi2d |
|
41 |
|
eleq1 |
|
42 |
|
fveq2 |
|
43 |
|
oveq1 |
|
44 |
42 43
|
fveq12d |
|
45 |
|
fvoveq1 |
|
46 |
45
|
sneqd |
|
47 |
46
|
imaeq2d |
|
48 |
44 47
|
eleq12d |
|
49 |
41 48
|
imbi12d |
|
50 |
49
|
imbi2d |
|
51 |
|
eleq1 |
|
52 |
|
fveq2 |
|
53 |
|
oveq1 |
|
54 |
52 53
|
fveq12d |
|
55 |
|
fvoveq1 |
|
56 |
55
|
sneqd |
|
57 |
56
|
imaeq2d |
|
58 |
54 57
|
eleq12d |
|
59 |
51 58
|
imbi12d |
|
60 |
59
|
imbi2d |
|
61 |
|
eleq1 |
|
62 |
|
fveq2 |
|
63 |
|
oveq1 |
|
64 |
62 63
|
fveq12d |
|
65 |
|
fvoveq1 |
|
66 |
65
|
sneqd |
|
67 |
66
|
imaeq2d |
|
68 |
64 67
|
eleq12d |
|
69 |
61 68
|
imbi12d |
|
70 |
69
|
imbi2d |
|
71 |
1 2 3 4 5 6 7 8 9 10 11 12
|
cvmliftlem4 |
|
72 |
71
|
a1i |
|
73 |
8
|
nnne0d |
|
74 |
15 73
|
div0d |
|
75 |
72 74
|
fveq12d |
|
76 |
|
0nn0 |
|
77 |
|
fvsng |
|
78 |
76 6 77
|
sylancr |
|
79 |
75 78
|
eqtrd |
|
80 |
74
|
fveq2d |
|
81 |
7 80
|
eqtr4d |
|
82 |
|
cvmcn |
|
83 |
4 82
|
syl |
|
84 |
2 3
|
cnf |
|
85 |
|
ffn |
|
86 |
83 84 85
|
3syl |
|
87 |
|
fniniseg |
|
88 |
86 87
|
syl |
|
89 |
6 81 88
|
mpbir2and |
|
90 |
79 89
|
eqeltrd |
|
91 |
90
|
a1d |
|
92 |
|
id |
|
93 |
|
nn0uz |
|
94 |
92 93
|
eleqtrdi |
|
95 |
94
|
adantl |
|
96 |
|
peano2fzr |
|
97 |
96
|
ex |
|
98 |
95 97
|
syl |
|
99 |
98
|
imim1d |
|
100 |
|
eqid |
|
101 |
|
simprlr |
|
102 |
|
elfzle2 |
|
103 |
101 102
|
syl |
|
104 |
|
simprll |
|
105 |
|
nn0p1nn |
|
106 |
104 105
|
syl |
|
107 |
|
nnuz |
|
108 |
106 107
|
eleqtrdi |
|
109 |
24
|
adantr |
|
110 |
|
elfz5 |
|
111 |
108 109 110
|
syl2anc |
|
112 |
103 111
|
mpbird |
|
113 |
|
simprr |
|
114 |
104
|
nn0cnd |
|
115 |
|
pncan |
|
116 |
114 17 115
|
sylancl |
|
117 |
116
|
fveq2d |
|
118 |
116
|
oveq1d |
|
119 |
117 118
|
fveq12d |
|
120 |
118
|
fveq2d |
|
121 |
120
|
sneqd |
|
122 |
121
|
imaeq2d |
|
123 |
113 119 122
|
3eltr4d |
|
124 |
1 2 3 4 5 6 7 8 9 10 11 12 100 112 123
|
cvmliftlem6 |
|
125 |
124
|
simpld |
|
126 |
104
|
nn0red |
|
127 |
8
|
adantr |
|
128 |
126 127
|
nndivred |
|
129 |
128
|
rexrd |
|
130 |
|
peano2re |
|
131 |
126 130
|
syl |
|
132 |
131 127
|
nndivred |
|
133 |
132
|
rexrd |
|
134 |
126
|
ltp1d |
|
135 |
127
|
nnred |
|
136 |
127
|
nngt0d |
|
137 |
|
ltdiv1 |
|
138 |
126 131 135 136 137
|
syl112anc |
|
139 |
134 138
|
mpbid |
|
140 |
128 132 139
|
ltled |
|
141 |
|
ubicc2 |
|
142 |
129 133 140 141
|
syl3anc |
|
143 |
118
|
oveq1d |
|
144 |
142 143
|
eleqtrrd |
|
145 |
125 144
|
ffvelrnd |
|
146 |
124
|
simprd |
|
147 |
143
|
reseq2d |
|
148 |
146 147
|
eqtrd |
|
149 |
148
|
fveq1d |
|
150 |
143
|
feq2d |
|
151 |
125 150
|
mpbid |
|
152 |
|
fvco3 |
|
153 |
151 142 152
|
syl2anc |
|
154 |
|
fvres |
|
155 |
142 154
|
syl |
|
156 |
149 153 155
|
3eqtr3d |
|
157 |
86
|
adantr |
|
158 |
|
fniniseg |
|
159 |
157 158
|
syl |
|
160 |
145 156 159
|
mpbir2and |
|
161 |
160
|
expr |
|
162 |
99 161
|
animpimp2impd |
|
163 |
40 50 60 70 91 162
|
nn0ind |
|
164 |
163
|
impd |
|
165 |
30 164
|
mpcom |
|
166 |
28 165
|
syldan |
|