Step |
Hyp |
Ref |
Expression |
1 |
|
dvradcnv.g |
|
2 |
|
dvradcnv.r |
|
3 |
|
dvradcnv.h |
|
4 |
|
dvradcnv.a |
|
5 |
|
dvradcnv.x |
|
6 |
|
dvradcnv.l |
|
7 |
|
nn0uz |
|
8 |
|
1nn0 |
|
9 |
8
|
a1i |
|
10 |
|
ax-1cn |
|
11 |
|
nn0cn |
|
12 |
11
|
adantl |
|
13 |
|
nn0ex |
|
14 |
13
|
mptex |
|
15 |
14
|
shftval4 |
|
16 |
10 12 15
|
sylancr |
|
17 |
|
addcom |
|
18 |
10 12 17
|
sylancr |
|
19 |
18
|
fveq2d |
|
20 |
|
peano2nn0 |
|
21 |
20
|
adantl |
|
22 |
|
id |
|
23 |
|
2fveq3 |
|
24 |
22 23
|
oveq12d |
|
25 |
|
eqid |
|
26 |
|
ovex |
|
27 |
24 25 26
|
fvmpt |
|
28 |
21 27
|
syl |
|
29 |
1
|
pserval2 |
|
30 |
5 20 29
|
syl2an |
|
31 |
30
|
fveq2d |
|
32 |
31
|
oveq2d |
|
33 |
28 32
|
eqtrd |
|
34 |
16 19 33
|
3eqtrd |
|
35 |
21
|
nn0red |
|
36 |
|
ffvelrn |
|
37 |
4 20 36
|
syl2an |
|
38 |
|
expcl |
|
39 |
5 20 38
|
syl2an |
|
40 |
37 39
|
mulcld |
|
41 |
40
|
abscld |
|
42 |
35 41
|
remulcld |
|
43 |
34 42
|
eqeltrd |
|
44 |
|
oveq1 |
|
45 |
44
|
fveq2d |
|
46 |
44 45
|
oveq12d |
|
47 |
|
oveq2 |
|
48 |
46 47
|
oveq12d |
|
49 |
|
ovex |
|
50 |
48 3 49
|
fvmpt |
|
51 |
50
|
adantl |
|
52 |
21
|
nn0cnd |
|
53 |
52 37
|
mulcld |
|
54 |
|
expcl |
|
55 |
5 54
|
sylan |
|
56 |
53 55
|
mulcld |
|
57 |
51 56
|
eqeltrd |
|
58 |
|
id |
|
59 |
|
2fveq3 |
|
60 |
58 59
|
oveq12d |
|
61 |
60
|
cbvmptv |
|
62 |
1 4 2 5 6 61
|
radcnvlt1 |
|
63 |
62
|
simpld |
|
64 |
|
climdm |
|
65 |
63 64
|
sylib |
|
66 |
|
0z |
|
67 |
|
neg1z |
|
68 |
14
|
isershft |
|
69 |
66 67 68
|
mp2an |
|
70 |
65 69
|
sylib |
|
71 |
|
seqex |
|
72 |
|
fvex |
|
73 |
71 72
|
breldm |
|
74 |
70 73
|
syl |
|
75 |
|
eqid |
|
76 |
|
neg1cn |
|
77 |
76
|
addid2i |
|
78 |
|
0le1 |
|
79 |
|
1re |
|
80 |
|
le0neg2 |
|
81 |
79 80
|
ax-mp |
|
82 |
78 81
|
mpbi |
|
83 |
77 82
|
eqbrtri |
|
84 |
77 67
|
eqeltri |
|
85 |
84
|
eluz1i |
|
86 |
66 83 85
|
mpbir2an |
|
87 |
86
|
a1i |
|
88 |
|
eluzelcn |
|
89 |
88
|
adantl |
|
90 |
10 89 15
|
sylancr |
|
91 |
|
nn0re |
|
92 |
91
|
adantl |
|
93 |
1 4 5
|
psergf |
|
94 |
93
|
ffvelrnda |
|
95 |
94
|
abscld |
|
96 |
92 95
|
remulcld |
|
97 |
96
|
recnd |
|
98 |
97
|
fmpttd |
|
99 |
10 88 17
|
sylancr |
|
100 |
|
eluzp1p1 |
|
101 |
77
|
oveq1i |
|
102 |
|
1pneg1e0 |
|
103 |
10 76 102
|
addcomli |
|
104 |
101 103
|
eqtri |
|
105 |
104
|
fveq2i |
|
106 |
7 105
|
eqtr4i |
|
107 |
100 106
|
eleqtrrdi |
|
108 |
99 107
|
eqeltrd |
|
109 |
|
ffvelrn |
|
110 |
98 108 109
|
syl2an |
|
111 |
90 110
|
eqeltrd |
|
112 |
75 87 111
|
iserex |
|
113 |
74 112
|
mpbid |
|
114 |
|
1red |
|
115 |
|
neqne |
|
116 |
|
absrpcl |
|
117 |
5 115 116
|
syl2an |
|
118 |
117
|
rprecred |
|
119 |
114 118
|
ifclda |
|
120 |
|
oveq1 |
|
121 |
120
|
breq2d |
|
122 |
|
oveq1 |
|
123 |
122
|
breq2d |
|
124 |
|
elnnuz |
|
125 |
|
nnnn0 |
|
126 |
124 125
|
sylbir |
|
127 |
21
|
nn0ge0d |
|
128 |
40
|
absge0d |
|
129 |
35 41 127 128
|
mulge0d |
|
130 |
126 129
|
sylan2 |
|
131 |
130
|
adantr |
|
132 |
|
oveq1 |
|
133 |
|
simpr |
|
134 |
133 124
|
sylibr |
|
135 |
134
|
0expd |
|
136 |
132 135
|
sylan9eqr |
|
137 |
136
|
oveq2d |
|
138 |
53
|
mul01d |
|
139 |
126 138
|
sylan2 |
|
140 |
139
|
adantr |
|
141 |
137 140
|
eqtrd |
|
142 |
141
|
abs00bd |
|
143 |
42
|
recnd |
|
144 |
143
|
mulid2d |
|
145 |
126 144
|
sylan2 |
|
146 |
145
|
adantr |
|
147 |
131 142 146
|
3brtr4d |
|
148 |
|
df-ne |
|
149 |
56
|
abscld |
|
150 |
52 37 55
|
mulassd |
|
151 |
150
|
fveq2d |
|
152 |
37 55
|
mulcld |
|
153 |
52 152
|
absmuld |
|
154 |
35 127
|
absidd |
|
155 |
154
|
oveq1d |
|
156 |
151 153 155
|
3eqtrd |
|
157 |
149 156
|
eqled |
|
158 |
157
|
adantr |
|
159 |
5
|
adantr |
|
160 |
116
|
rpreccld |
|
161 |
159 160
|
sylan |
|
162 |
161
|
rpcnd |
|
163 |
52
|
adantr |
|
164 |
41
|
adantr |
|
165 |
164
|
recnd |
|
166 |
162 163 165
|
mul12d |
|
167 |
40
|
adantr |
|
168 |
5
|
ad2antrr |
|
169 |
|
simpr |
|
170 |
167 168 169
|
absdivd |
|
171 |
37
|
adantr |
|
172 |
39
|
adantr |
|
173 |
171 172 168 169
|
divassd |
|
174 |
12
|
adantr |
|
175 |
|
pncan |
|
176 |
174 10 175
|
sylancl |
|
177 |
176
|
oveq2d |
|
178 |
21
|
nn0zd |
|
179 |
178
|
adantr |
|
180 |
168 169 179
|
expm1d |
|
181 |
177 180
|
eqtr3d |
|
182 |
181
|
oveq2d |
|
183 |
173 182
|
eqtr4d |
|
184 |
183
|
fveq2d |
|
185 |
5
|
abscld |
|
186 |
185
|
ad2antrr |
|
187 |
186
|
recnd |
|
188 |
159 116
|
sylan |
|
189 |
188
|
rpne0d |
|
190 |
165 187 189
|
divrec2d |
|
191 |
170 184 190
|
3eqtr3rd |
|
192 |
191
|
oveq2d |
|
193 |
166 192
|
eqtrd |
|
194 |
158 193
|
breqtrrd |
|
195 |
126 194
|
sylanl2 |
|
196 |
148 195
|
sylan2br |
|
197 |
121 123 147 196
|
ifbothda |
|
198 |
51
|
fveq2d |
|
199 |
126 198
|
sylan2 |
|
200 |
34
|
oveq2d |
|
201 |
126 200
|
sylan2 |
|
202 |
197 199 201
|
3brtr4d |
|
203 |
7 9 43 57 113 119 202
|
cvgcmpce |
|