Step |
Hyp |
Ref |
Expression |
1 |
|
upgr4cycl4dv4e.v |
|
2 |
|
upgr4cycl4dv4e.e |
|
3 |
|
cyclprop |
|
4 |
|
pthiswlk |
|
5 |
2
|
upgrwlkvtxedg |
|
6 |
|
fveq2 |
|
7 |
6
|
eqeq2d |
|
8 |
7
|
anbi2d |
|
9 |
|
oveq2 |
|
10 |
|
fzo0to42pr |
|
11 |
9 10
|
eqtrdi |
|
12 |
11
|
raleqdv |
|
13 |
|
ralunb |
|
14 |
|
c0ex |
|
15 |
|
1ex |
|
16 |
|
fveq2 |
|
17 |
|
fv0p1e1 |
|
18 |
16 17
|
preq12d |
|
19 |
18
|
eleq1d |
|
20 |
|
fveq2 |
|
21 |
|
oveq1 |
|
22 |
|
1p1e2 |
|
23 |
21 22
|
eqtrdi |
|
24 |
23
|
fveq2d |
|
25 |
20 24
|
preq12d |
|
26 |
25
|
eleq1d |
|
27 |
14 15 19 26
|
ralpr |
|
28 |
|
2ex |
|
29 |
|
3ex |
|
30 |
|
fveq2 |
|
31 |
|
oveq1 |
|
32 |
|
2p1e3 |
|
33 |
31 32
|
eqtrdi |
|
34 |
33
|
fveq2d |
|
35 |
30 34
|
preq12d |
|
36 |
35
|
eleq1d |
|
37 |
|
fveq2 |
|
38 |
|
oveq1 |
|
39 |
|
3p1e4 |
|
40 |
38 39
|
eqtrdi |
|
41 |
40
|
fveq2d |
|
42 |
37 41
|
preq12d |
|
43 |
42
|
eleq1d |
|
44 |
28 29 36 43
|
ralpr |
|
45 |
27 44
|
anbi12i |
|
46 |
13 45
|
bitri |
|
47 |
12 46
|
syl6bb |
|
48 |
8 47
|
anbi12d |
|
49 |
|
preq2 |
|
50 |
49
|
eleq1d |
|
51 |
50
|
eqcoms |
|
52 |
51
|
anbi2d |
|
53 |
52
|
anbi2d |
|
54 |
53
|
adantl |
|
55 |
|
4nn0 |
|
56 |
55
|
a1i |
|
57 |
1
|
wlkp |
|
58 |
|
oveq2 |
|
59 |
58
|
feq2d |
|
60 |
59
|
biimpcd |
|
61 |
4 57 60
|
3syl |
|
62 |
61
|
impcom |
|
63 |
|
id |
|
64 |
|
0nn0 |
|
65 |
64
|
a1i |
|
66 |
|
4pos |
|
67 |
66
|
a1i |
|
68 |
63 65 67
|
3jca |
|
69 |
|
fvffz0 |
|
70 |
68 69
|
sylan |
|
71 |
70
|
ad2antlr |
|
72 |
|
1nn0 |
|
73 |
72
|
a1i |
|
74 |
|
1lt4 |
|
75 |
74
|
a1i |
|
76 |
63 73 75
|
3jca |
|
77 |
|
fvffz0 |
|
78 |
76 77
|
sylan |
|
79 |
78
|
ad2antlr |
|
80 |
|
2nn0 |
|
81 |
80
|
a1i |
|
82 |
|
2lt4 |
|
83 |
82
|
a1i |
|
84 |
63 81 83
|
3jca |
|
85 |
|
fvffz0 |
|
86 |
84 85
|
sylan |
|
87 |
86
|
ad2antlr |
|
88 |
|
3nn0 |
|
89 |
88
|
a1i |
|
90 |
|
3lt4 |
|
91 |
90
|
a1i |
|
92 |
63 89 91
|
3jca |
|
93 |
|
fvffz0 |
|
94 |
92 93
|
sylan |
|
95 |
94
|
ad2antlr |
|
96 |
|
simpr |
|
97 |
|
simplr |
|
98 |
|
breq2 |
|
99 |
74 98
|
mpbiri |
|
100 |
99
|
ad2antrr |
|
101 |
|
simpll |
|
102 |
9
|
ad2antrr |
|
103 |
|
4nn |
|
104 |
|
lbfzo0 |
|
105 |
103 104
|
mpbir |
|
106 |
|
eleq2 |
|
107 |
105 106
|
mpbiri |
|
108 |
107
|
adantl |
|
109 |
|
pthdadjvtx |
|
110 |
108 109
|
syl3an3 |
|
111 |
|
1e0p1 |
|
112 |
111
|
fveq2i |
|
113 |
112
|
neeq2i |
|
114 |
110 113
|
sylibr |
|
115 |
|
simp1 |
|
116 |
|
elfzo0 |
|
117 |
80 103 82 116
|
mpbir3an |
|
118 |
|
2ne0 |
|
119 |
|
fzo1fzo0n0 |
|
120 |
117 118 119
|
mpbir2an |
|
121 |
|
oveq2 |
|
122 |
120 121
|
eleqtrrid |
|
123 |
|
0elfz |
|
124 |
55 123
|
ax-mp |
|
125 |
124 58
|
eleqtrrid |
|
126 |
118
|
a1i |
|
127 |
122 125 126
|
3jca |
|
128 |
127
|
adantr |
|
129 |
128
|
3ad2ant3 |
|
130 |
|
pthdivtx |
|
131 |
115 129 130
|
syl2anc |
|
132 |
131
|
necomd |
|
133 |
|
elfzo0 |
|
134 |
88 103 90 133
|
mpbir3an |
|
135 |
|
3ne0 |
|
136 |
|
fzo1fzo0n0 |
|
137 |
134 135 136
|
mpbir2an |
|
138 |
137 121
|
eleqtrrid |
|
139 |
135
|
a1i |
|
140 |
138 125 139
|
3jca |
|
141 |
140
|
adantr |
|
142 |
141
|
3ad2ant3 |
|
143 |
|
pthdivtx |
|
144 |
115 142 143
|
syl2anc |
|
145 |
144
|
necomd |
|
146 |
114 132 145
|
3jca |
|
147 |
|
elfzo0 |
|
148 |
72 103 74 147
|
mpbir3an |
|
149 |
|
eleq2 |
|
150 |
148 149
|
mpbiri |
|
151 |
150
|
adantl |
|
152 |
|
pthdadjvtx |
|
153 |
151 152
|
syl3an3 |
|
154 |
|
df-2 |
|
155 |
154
|
fveq2i |
|
156 |
155
|
neeq2i |
|
157 |
153 156
|
sylibr |
|
158 |
|
ax-1ne0 |
|
159 |
|
fzo1fzo0n0 |
|
160 |
148 158 159
|
mpbir2an |
|
161 |
160 121
|
eleqtrrid |
|
162 |
|
3re |
|
163 |
|
4re |
|
164 |
162 163 90
|
ltleii |
|
165 |
|
elfz2nn0 |
|
166 |
88 55 164 165
|
mpbir3an |
|
167 |
166 58
|
eleqtrrid |
|
168 |
|
1re |
|
169 |
|
1lt3 |
|
170 |
168 169
|
ltneii |
|
171 |
170
|
a1i |
|
172 |
161 167 171
|
3jca |
|
173 |
172
|
adantr |
|
174 |
173
|
3ad2ant3 |
|
175 |
|
pthdivtx |
|
176 |
115 174 175
|
syl2anc |
|
177 |
|
eleq2 |
|
178 |
117 177
|
mpbiri |
|
179 |
178
|
adantl |
|
180 |
|
pthdadjvtx |
|
181 |
179 180
|
syl3an3 |
|
182 |
|
df-3 |
|
183 |
182
|
fveq2i |
|
184 |
183
|
neeq2i |
|
185 |
181 184
|
sylibr |
|
186 |
157 176 185
|
3jca |
|
187 |
146 186
|
jca |
|
188 |
97 100 101 102 187
|
syl112anc |
|
189 |
188
|
adantr |
|
190 |
|
preq2 |
|
191 |
190
|
eleq1d |
|
192 |
191
|
anbi2d |
|
193 |
|
preq1 |
|
194 |
193
|
eleq1d |
|
195 |
194
|
anbi1d |
|
196 |
192 195
|
anbi12d |
|
197 |
|
neeq2 |
|
198 |
197
|
3anbi2d |
|
199 |
|
neeq2 |
|
200 |
|
neeq1 |
|
201 |
199 200
|
3anbi13d |
|
202 |
198 201
|
anbi12d |
|
203 |
196 202
|
anbi12d |
|
204 |
|
preq2 |
|
205 |
204
|
eleq1d |
|
206 |
|
preq1 |
|
207 |
206
|
eleq1d |
|
208 |
205 207
|
anbi12d |
|
209 |
208
|
anbi2d |
|
210 |
|
neeq2 |
|
211 |
210
|
3anbi3d |
|
212 |
|
neeq2 |
|
213 |
|
neeq2 |
|
214 |
212 213
|
3anbi23d |
|
215 |
211 214
|
anbi12d |
|
216 |
209 215
|
anbi12d |
|
217 |
203 216
|
rspc2ev |
|
218 |
87 95 96 189 217
|
syl112anc |
|
219 |
71 79 218
|
3jca |
|
220 |
219
|
exp31 |
|
221 |
56 62 220
|
mp2and |
|
222 |
221
|
adantr |
|
223 |
54 222
|
sylbid |
|
224 |
223
|
exp31 |
|
225 |
224
|
imp4c |
|
226 |
|
preq1 |
|
227 |
226
|
eleq1d |
|
228 |
227
|
anbi1d |
|
229 |
|
preq2 |
|
230 |
229
|
eleq1d |
|
231 |
230
|
anbi2d |
|
232 |
228 231
|
anbi12d |
|
233 |
|
neeq1 |
|
234 |
|
neeq1 |
|
235 |
|
neeq1 |
|
236 |
233 234 235
|
3anbi123d |
|
237 |
236
|
anbi1d |
|
238 |
232 237
|
anbi12d |
|
239 |
238
|
2rexbidv |
|
240 |
|
preq2 |
|
241 |
240
|
eleq1d |
|
242 |
|
preq1 |
|
243 |
242
|
eleq1d |
|
244 |
241 243
|
anbi12d |
|
245 |
244
|
anbi1d |
|
246 |
|
neeq2 |
|
247 |
246
|
3anbi1d |
|
248 |
|
neeq1 |
|
249 |
|
neeq1 |
|
250 |
248 249
|
3anbi12d |
|
251 |
247 250
|
anbi12d |
|
252 |
245 251
|
anbi12d |
|
253 |
252
|
2rexbidv |
|
254 |
239 253
|
rspc2ev |
|
255 |
225 254
|
syl6 |
|
256 |
48 255
|
sylbid |
|
257 |
256
|
expd |
|
258 |
257
|
com13 |
|
259 |
5 258
|
syl |
|
260 |
259
|
expcom |
|
261 |
260
|
com23 |
|
262 |
261
|
expd |
|
263 |
4 262
|
mpcom |
|
264 |
263
|
imp |
|
265 |
3 264
|
syl |
|
266 |
265
|
3imp21 |
|