Step |
Hyp |
Ref |
Expression |
1 |
|
rpvmasum.z |
|
2 |
|
rpvmasum.l |
|
3 |
|
rpvmasum.a |
|
4 |
|
rpvmasum2.g |
|
5 |
|
rpvmasum2.d |
|
6 |
|
rpvmasum2.1 |
|
7 |
|
rpvmasum2.w |
|
8 |
|
dchrisum0.b |
|
9 |
|
eqid |
|
10 |
7
|
ssrab3 |
|
11 |
10 8
|
sselid |
|
12 |
11
|
eldifad |
|
13 |
4 1 5 9 12
|
dchrf |
|
14 |
13
|
ffnd |
|
15 |
13
|
ffvelrnda |
|
16 |
|
fvco3 |
|
17 |
13 16
|
sylan |
|
18 |
|
logno1 |
|
19 |
|
1red |
|
20 |
|
eqid |
|
21 |
3
|
nnnn0d |
|
22 |
1
|
zncrng |
|
23 |
21 22
|
syl |
|
24 |
|
crngring |
|
25 |
23 24
|
syl |
|
26 |
|
eqid |
|
27 |
20 26
|
1unit |
|
28 |
25 27
|
syl |
|
29 |
|
eqid |
|
30 |
|
eqidd |
|
31 |
1 2 3 4 5 6 7 20 28 29 30
|
rpvmasum2 |
|
32 |
31
|
adantr |
|
33 |
3
|
phicld |
|
34 |
33
|
nnnn0d |
|
35 |
34
|
adantr |
|
36 |
35
|
nn0red |
|
37 |
|
fzfid |
|
38 |
|
inss1 |
|
39 |
|
ssfi |
|
40 |
37 38 39
|
sylancl |
|
41 |
|
elinel1 |
|
42 |
|
elfznn |
|
43 |
42
|
adantl |
|
44 |
41 43
|
sylan2 |
|
45 |
|
vmacl |
|
46 |
|
nndivre |
|
47 |
45 46
|
mpancom |
|
48 |
44 47
|
syl |
|
49 |
40 48
|
fsumrecl |
|
50 |
36 49
|
remulcld |
|
51 |
|
relogcl |
|
52 |
51
|
adantl |
|
53 |
|
1re |
|
54 |
4 5
|
dchrfi |
|
55 |
3 54
|
syl |
|
56 |
|
difss |
|
57 |
10 56
|
sstri |
|
58 |
|
ssfi |
|
59 |
55 57 58
|
sylancl |
|
60 |
|
hashcl |
|
61 |
59 60
|
syl |
|
62 |
61
|
nn0red |
|
63 |
|
resubcl |
|
64 |
53 62 63
|
sylancr |
|
65 |
64
|
adantr |
|
66 |
52 65
|
remulcld |
|
67 |
50 66
|
resubcld |
|
68 |
67
|
recnd |
|
69 |
68
|
adantlr |
|
70 |
51
|
adantl |
|
71 |
70
|
recnd |
|
72 |
51
|
ad2antrl |
|
73 |
66
|
ad2ant2r |
|
74 |
72 73
|
readdcld |
|
75 |
|
0red |
|
76 |
50
|
ad2ant2r |
|
77 |
|
2re |
|
78 |
77
|
a1i |
|
79 |
62
|
ad2antrr |
|
80 |
78 79
|
resubcld |
|
81 |
|
log1 |
|
82 |
|
simprr |
|
83 |
|
1rp |
|
84 |
|
simprl |
|
85 |
|
logleb |
|
86 |
83 84 85
|
sylancr |
|
87 |
82 86
|
mpbid |
|
88 |
81 87
|
eqbrtrrid |
|
89 |
59
|
ad2antrr |
|
90 |
|
eqid |
|
91 |
4 5 12 90
|
dchrinv |
|
92 |
4
|
dchrabl |
|
93 |
3 92
|
syl |
|
94 |
|
ablgrp |
|
95 |
93 94
|
syl |
|
96 |
5 90
|
grpinvcl |
|
97 |
95 12 96
|
syl2anc |
|
98 |
91 97
|
eqeltrrd |
|
99 |
|
eldifsni |
|
100 |
11 99
|
syl |
|
101 |
5 6
|
grpidcl |
|
102 |
95 101
|
syl |
|
103 |
5 90 95 12 102
|
grpinv11 |
|
104 |
103
|
necon3bid |
|
105 |
100 104
|
mpbird |
|
106 |
6 90
|
grpinvid |
|
107 |
95 106
|
syl |
|
108 |
105 91 107
|
3netr3d |
|
109 |
|
eldifsn |
|
110 |
98 108 109
|
sylanbrc |
|
111 |
|
nnuz |
|
112 |
|
1zzd |
|
113 |
|
2fveq3 |
|
114 |
|
id |
|
115 |
113 114
|
oveq12d |
|
116 |
115
|
fveq2d |
|
117 |
|
eqid |
|
118 |
|
fvex |
|
119 |
116 117 118
|
fvmpt |
|
120 |
119
|
adantl |
|
121 |
|
nnre |
|
122 |
121
|
adantl |
|
123 |
122
|
cjred |
|
124 |
123
|
oveq2d |
|
125 |
13
|
adantr |
|
126 |
1 9 2
|
znzrhfo |
|
127 |
21 126
|
syl |
|
128 |
|
fof |
|
129 |
127 128
|
syl |
|
130 |
|
nnz |
|
131 |
|
ffvelrn |
|
132 |
129 130 131
|
syl2an |
|
133 |
125 132
|
ffvelrnd |
|
134 |
|
nncn |
|
135 |
134
|
adantl |
|
136 |
|
nnne0 |
|
137 |
136
|
adantl |
|
138 |
133 135 137
|
cjdivd |
|
139 |
|
fvco3 |
|
140 |
125 132 139
|
syl2anc |
|
141 |
140
|
oveq1d |
|
142 |
124 138 141
|
3eqtr4d |
|
143 |
120 142
|
eqtrd |
|
144 |
133
|
cjcld |
|
145 |
144 135 137
|
divcld |
|
146 |
141 145
|
eqeltrd |
|
147 |
|
eqid |
|
148 |
1 2 3 4 5 6 12 100 147
|
dchrmusumlema |
|
149 |
|
simprrl |
|
150 |
8
|
adantr |
|
151 |
3
|
adantr |
|
152 |
12
|
adantr |
|
153 |
100
|
adantr |
|
154 |
|
simprl |
|
155 |
|
simprrr |
|
156 |
1 2 151 4 5 6 152 153 147 154 149 155 7
|
dchrvmaeq0 |
|
157 |
150 156
|
mpbid |
|
158 |
149 157
|
breqtrd |
|
159 |
158
|
rexlimdvaa |
|
160 |
159
|
exlimdv |
|
161 |
148 160
|
mpd |
|
162 |
|
seqex |
|
163 |
162
|
a1i |
|
164 |
|
2fveq3 |
|
165 |
|
id |
|
166 |
164 165
|
oveq12d |
|
167 |
|
ovex |
|
168 |
166 147 167
|
fvmpt |
|
169 |
168
|
adantl |
|
170 |
133 135 137
|
divcld |
|
171 |
169 170
|
eqeltrd |
|
172 |
111 112 171
|
serf |
|
173 |
172
|
ffvelrnda |
|
174 |
|
fzfid |
|
175 |
|
simpl |
|
176 |
|
elfznn |
|
177 |
175 176 170
|
syl2an |
|
178 |
174 177
|
fsumcj |
|
179 |
175 176 169
|
syl2an |
|
180 |
|
simpr |
|
181 |
180 111
|
eleqtrdi |
|
182 |
179 181 177
|
fsumser |
|
183 |
182
|
fveq2d |
|
184 |
175 176 120
|
syl2an |
|
185 |
170
|
cjcld |
|
186 |
175 176 185
|
syl2an |
|
187 |
184 181 186
|
fsumser |
|
188 |
178 183 187
|
3eqtr3rd |
|
189 |
111 161 163 112 173 188
|
climcj |
|
190 |
|
cj0 |
|
191 |
189 190
|
breqtrdi |
|
192 |
111 112 143 146 191
|
isumclim |
|
193 |
|
fveq1 |
|
194 |
193
|
oveq1d |
|
195 |
194
|
sumeq2sdv |
|
196 |
195
|
eqeq1d |
|
197 |
196 7
|
elrab2 |
|
198 |
110 192 197
|
sylanbrc |
|
199 |
198
|
ad2antrr |
|
200 |
8
|
ad2antrr |
|
201 |
|
simplr |
|
202 |
89 199 200 201
|
nehash2 |
|
203 |
|
suble0 |
|
204 |
77 79 203
|
sylancr |
|
205 |
202 204
|
mpbird |
|
206 |
80 75 72 88 205
|
lemul2ad |
|
207 |
|
df-2 |
|
208 |
207
|
oveq1i |
|
209 |
|
1cnd |
|
210 |
79
|
recnd |
|
211 |
209 209 210
|
addsubassd |
|
212 |
208 211
|
syl5eq |
|
213 |
212
|
oveq2d |
|
214 |
71
|
adantrr |
|
215 |
64
|
ad2antrr |
|
216 |
215
|
recnd |
|
217 |
214 209 216
|
adddid |
|
218 |
214
|
mulid1d |
|
219 |
218
|
oveq1d |
|
220 |
213 217 219
|
3eqtrd |
|
221 |
214
|
mul01d |
|
222 |
206 220 221
|
3brtr3d |
|
223 |
33
|
nnred |
|
224 |
223
|
ad2antrr |
|
225 |
49
|
ad2ant2r |
|
226 |
34
|
ad2antrr |
|
227 |
226
|
nn0ge0d |
|
228 |
44 45
|
syl |
|
229 |
|
vmage0 |
|
230 |
44 229
|
syl |
|
231 |
44
|
nnred |
|
232 |
44
|
nngt0d |
|
233 |
|
divge0 |
|
234 |
228 230 231 232 233
|
syl22anc |
|
235 |
40 48 234
|
fsumge0 |
|
236 |
235
|
ad2ant2r |
|
237 |
224 225 227 236
|
mulge0d |
|
238 |
74 75 76 222 237
|
letrd |
|
239 |
|
leaddsub |
|
240 |
72 73 76 239
|
syl3anc |
|
241 |
238 240
|
mpbid |
|
242 |
72 88
|
absidd |
|
243 |
67
|
ad2ant2r |
|
244 |
75 72 243 88 241
|
letrd |
|
245 |
243 244
|
absidd |
|
246 |
241 242 245
|
3brtr4d |
|
247 |
19 32 69 71 246
|
o1le |
|
248 |
247
|
ex |
|
249 |
248
|
necon1bd |
|
250 |
18 249
|
mpi |
|
251 |
250
|
adantr |
|
252 |
251
|
fveq1d |
|
253 |
17 252
|
eqtr3d |
|
254 |
15 253
|
cjrebd |
|
255 |
254
|
ralrimiva |
|
256 |
|
ffnfv |
|
257 |
14 255 256
|
sylanbrc |
|