Step |
Hyp |
Ref |
Expression |
1 |
|
pntrval.r |
|
2 |
|
2re |
|
3 |
2
|
a1i |
|
4 |
|
elioore |
|
5 |
4
|
adantl |
|
6 |
|
1rp |
|
7 |
6
|
a1i |
|
8 |
|
1red |
|
9 |
|
eliooord |
|
10 |
9
|
adantl |
|
11 |
10
|
simpld |
|
12 |
8 5 11
|
ltled |
|
13 |
5 7 12
|
rpgecld |
|
14 |
1
|
pntrf |
|
15 |
14
|
ffvelrni |
|
16 |
13 15
|
syl |
|
17 |
13
|
relogcld |
|
18 |
16 17
|
remulcld |
|
19 |
3 18
|
remulcld |
|
20 |
19
|
recnd |
|
21 |
5 11
|
rplogcld |
|
22 |
3 21
|
rerpdivcld |
|
23 |
22
|
recnd |
|
24 |
|
fzfid |
|
25 |
13
|
adantr |
|
26 |
|
elfznn |
|
27 |
26
|
adantl |
|
28 |
27
|
nnrpd |
|
29 |
25 28
|
rpdivcld |
|
30 |
14
|
ffvelrni |
|
31 |
29 30
|
syl |
|
32 |
|
fzfid |
|
33 |
|
dvdsssfz1 |
|
34 |
27 33
|
syl |
|
35 |
32 34
|
ssfid |
|
36 |
|
ssrab2 |
|
37 |
|
simpr |
|
38 |
36 37
|
sseldi |
|
39 |
|
vmacl |
|
40 |
38 39
|
syl |
|
41 |
|
dvdsdivcl |
|
42 |
27 41
|
sylan |
|
43 |
36 42
|
sseldi |
|
44 |
|
vmacl |
|
45 |
43 44
|
syl |
|
46 |
40 45
|
remulcld |
|
47 |
35 46
|
fsumrecl |
|
48 |
|
vmacl |
|
49 |
27 48
|
syl |
|
50 |
28
|
relogcld |
|
51 |
49 50
|
remulcld |
|
52 |
47 51
|
resubcld |
|
53 |
31 52
|
remulcld |
|
54 |
24 53
|
fsumrecl |
|
55 |
54
|
recnd |
|
56 |
23 55
|
mulcld |
|
57 |
20 56
|
subcld |
|
58 |
5
|
recnd |
|
59 |
|
2cnd |
|
60 |
13
|
rpne0d |
|
61 |
|
2ne0 |
|
62 |
61
|
a1i |
|
63 |
57 58 59 60 62
|
divdiv32d |
|
64 |
57 58 60
|
divcld |
|
65 |
64 59 62
|
divrecd |
|
66 |
20 56 59 62
|
divsubdird |
|
67 |
18
|
recnd |
|
68 |
67 59 62
|
divcan3d |
|
69 |
21
|
rpcnd |
|
70 |
21
|
rpne0d |
|
71 |
59 69 55 70
|
div32d |
|
72 |
71
|
oveq1d |
|
73 |
54 21
|
rerpdivcld |
|
74 |
73
|
recnd |
|
75 |
74 59 62
|
divcan3d |
|
76 |
72 75
|
eqtrd |
|
77 |
68 76
|
oveq12d |
|
78 |
66 77
|
eqtrd |
|
79 |
78
|
oveq1d |
|
80 |
63 65 79
|
3eqtr3d |
|
81 |
80
|
mpteq2dva |
|
82 |
22 54
|
remulcld |
|
83 |
19 82
|
resubcld |
|
84 |
83 13
|
rerpdivcld |
|
85 |
8
|
rehalfcld |
|
86 |
31
|
recnd |
|
87 |
47
|
recnd |
|
88 |
49
|
recnd |
|
89 |
50
|
recnd |
|
90 |
88 89
|
mulcld |
|
91 |
86 87 90
|
subdid |
|
92 |
86 88 89
|
mul12d |
|
93 |
88 86 89
|
mulassd |
|
94 |
92 93
|
eqtr4d |
|
95 |
94
|
oveq2d |
|
96 |
91 95
|
eqtrd |
|
97 |
96
|
sumeq2dv |
|
98 |
86 87
|
mulcld |
|
99 |
88 86
|
mulcld |
|
100 |
99 89
|
mulcld |
|
101 |
24 98 100
|
fsumsub |
|
102 |
46
|
recnd |
|
103 |
35 86 102
|
fsummulc2 |
|
104 |
103
|
sumeq2dv |
|
105 |
|
oveq2 |
|
106 |
105
|
fveq2d |
|
107 |
|
fvoveq1 |
|
108 |
107
|
oveq2d |
|
109 |
106 108
|
oveq12d |
|
110 |
31
|
adantrr |
|
111 |
40
|
anasss |
|
112 |
45
|
anasss |
|
113 |
111 112
|
remulcld |
|
114 |
110 113
|
remulcld |
|
115 |
114
|
recnd |
|
116 |
109 5 115
|
dvdsflsumcom |
|
117 |
58
|
ad2antrr |
|
118 |
|
elfznn |
|
119 |
118
|
adantl |
|
120 |
119
|
nnrpd |
|
121 |
120
|
adantr |
|
122 |
121
|
rpcnd |
|
123 |
|
elfznn |
|
124 |
123
|
adantl |
|
125 |
124
|
nncnd |
|
126 |
121
|
rpne0d |
|
127 |
124
|
nnne0d |
|
128 |
117 122 125 126 127
|
divdiv1d |
|
129 |
128
|
eqcomd |
|
130 |
129
|
fveq2d |
|
131 |
125 122 126
|
divcan3d |
|
132 |
131
|
fveq2d |
|
133 |
132
|
oveq2d |
|
134 |
130 133
|
oveq12d |
|
135 |
13
|
ad2antrr |
|
136 |
135 121
|
rpdivcld |
|
137 |
124
|
nnrpd |
|
138 |
136 137
|
rpdivcld |
|
139 |
14
|
ffvelrni |
|
140 |
138 139
|
syl |
|
141 |
140
|
recnd |
|
142 |
119 39
|
syl |
|
143 |
142
|
recnd |
|
144 |
143
|
adantr |
|
145 |
|
vmacl |
|
146 |
124 145
|
syl |
|
147 |
146
|
recnd |
|
148 |
144 147
|
mulcld |
|
149 |
141 148
|
mulcomd |
|
150 |
144 147 141
|
mulassd |
|
151 |
134 149 150
|
3eqtrd |
|
152 |
151
|
sumeq2dv |
|
153 |
|
fzfid |
|
154 |
146 140
|
remulcld |
|
155 |
154
|
recnd |
|
156 |
153 143 155
|
fsummulc2 |
|
157 |
152 156
|
eqtr4d |
|
158 |
157
|
sumeq2dv |
|
159 |
104 116 158
|
3eqtrd |
|
160 |
159
|
oveq1d |
|
161 |
97 101 160
|
3eqtrd |
|
162 |
161
|
oveq2d |
|
163 |
153 154
|
fsumrecl |
|
164 |
142 163
|
remulcld |
|
165 |
24 164
|
fsumrecl |
|
166 |
165
|
recnd |
|
167 |
49 31
|
remulcld |
|
168 |
167 50
|
remulcld |
|
169 |
24 168
|
fsumrecl |
|
170 |
169
|
recnd |
|
171 |
23 166 170
|
subdid |
|
172 |
162 171
|
eqtrd |
|
173 |
172
|
oveq2d |
|
174 |
23 166
|
mulcld |
|
175 |
22 169
|
remulcld |
|
176 |
175
|
recnd |
|
177 |
20 174 176
|
subsub3d |
|
178 |
173 177
|
eqtrd |
|
179 |
67
|
2timesd |
|
180 |
179
|
oveq1d |
|
181 |
67 176 67
|
add32d |
|
182 |
180 181
|
eqtr4d |
|
183 |
182
|
oveq1d |
|
184 |
18 175
|
readdcld |
|
185 |
184
|
recnd |
|
186 |
185 67 174
|
addsubassd |
|
187 |
178 183 186
|
3eqtrd |
|
188 |
187
|
oveq1d |
|
189 |
67 174
|
subcld |
|
190 |
185 189 58 60
|
divdird |
|
191 |
188 190
|
eqtrd |
|
192 |
191
|
mpteq2dva |
|
193 |
184 13
|
rerpdivcld |
|
194 |
22 165
|
remulcld |
|
195 |
18 194
|
resubcld |
|
196 |
195 13
|
rerpdivcld |
|
197 |
1
|
selberg3r |
|
198 |
197
|
a1i |
|
199 |
1
|
selberg4r |
|
200 |
199
|
a1i |
|
201 |
193 196 198 200
|
o1add2 |
|
202 |
192 201
|
eqeltrd |
|
203 |
|
ioossre |
|
204 |
|
1cnd |
|
205 |
204
|
halfcld |
|
206 |
|
o1const |
|
207 |
203 205 206
|
sylancr |
|
208 |
84 85 202 207
|
o1mul2 |
|
209 |
81 208
|
eqeltrrd |
|
210 |
209
|
mptru |
|